{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "5427e666-74cb-446c-8fcc-e6f792a60ba6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import cantera as ct\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy\n",
    "from scipy.interpolate import interp1d\n",
    "\n",
    "#compare\n",
    "p0 = 101325\n",
    "T0 = 300 #paper\n",
    "phi = 0.7\n",
    "alpha = 0.6 #paper>0.6~0.8\n",
    "width = 0.02 #2cm\n",
    "loglevel = 0\n",
    "\n",
    "xh2 = alpha / (1 - alpha) * 1\n",
    "fuel = {'CH4': 1, 'H2': xh2}\n",
    "oxidizer = {'O2': 1, 'N2': 3.76}\n",
    "\n",
    "gas = ct.Solution('gri30.yaml')\n",
    "gas.TP = T0, p0\n",
    "gas.set_equivalence_ratio(phi, fuel, oxidizer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "35ae855c-fb60-4aca-a349-79efd11a68f9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flame speed: 0.34056 m/s\n"
     ]
    }
   ],
   "source": [
    "flame = ct.FreeFlame(gas, width=width)\n",
    "flame.solve(loglevel, auto=True)\n",
    "flame_speed = flame.velocity[0] #Sl0\n",
    "print(f'Flame speed: {flame_speed:.5f} m/s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bd51a80b-c8c8-4808-b0f2-0b4c645669ad",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adiabatic temperature (Tad) from FreeFlame: 1820.61 K\n"
     ]
    }
   ],
   "source": [
    "# get adiabatic temperature from the FreeFlame object\n",
    "def get_adiabatic_temperature_from_flame(flame): # lamninar unstretched flame\n",
    "    Tad = flame.T[-1]  # final status of the flame\n",
    "    return Tad\n",
    "\n",
    "Tad = get_adiabatic_temperature_from_flame(flame)   ## (Viken) adiabatic temperature should be from the laminar unstretched configuration\n",
    "print(f'Adiabatic temperature (Tad) from FreeFlame: {Tad:.2f} K')\n",
    "Xflame = flame.X[:,-1] ## (viken)\n",
    "#print(Xflame)\n",
    "\n",
    "### (viken) use laminar flame to compute the thermal diffusivity, only needed once per operating conditions\n",
    "cp      = flame.cp_mass[0]\n",
    "density = flame.density_mass[0]    \n",
    "lambda_     = flame.thermal_conductivity[0]\n",
    "thermal_diffusivity = lambda_ / (density * cp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ff7b27a7-0b34-4081-a2f2-71a1153498b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_heat_loss_coefficient(Tp, Tad, Tr):\n",
    "    beta = (Tp - Tr) / (Tad - Tr)\n",
    "    return beta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "30517be7-35ea-4ad9-8b9d-976040e1375e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_consumption_speed(flame_cf, gas, fuel_species):\n",
    "    rho_u = flame_cf.density[0]\n",
    "    total_fuel_mass_fraction = sum(flame_cf.Y[gas.species_index(fuel), 0] for fuel in fuel_species)\n",
    "\n",
    "    integral_numerator = 0\n",
    "    for fuel in fuel_species:\n",
    "        i_fuel = gas.species_index(fuel)\n",
    "        nk = flame_cf.Y[i_fuel, 0] / total_fuel_mass_fraction\n",
    "        integral = scipy.integrate.simpson(gas.molecular_weights[i_fuel] * flame_cf.net_production_rates[i_fuel], x=flame_cf.grid)\n",
    "        integral_numerator += nk * integral\n",
    "\n",
    "    mass_fraction_diff = sum(flame_cf.Y[gas.species_index(fuel), -1] - flame_cf.Y[gas.species_index(fuel), 0] for fuel in fuel_species)\n",
    "    S_cF = integral_numerator / (rho_u * mass_fraction_diff)\n",
    "    return S_cF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "b9dc5716-fcce-44aa-a4f3-60f860ebf2f3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.01 . 0.01582000386815461\n",
      "0.012067926406393288 . 0.01805844748905383\n",
      "0.014563484775012436 . 0.020751281910393455\n",
      "0.017575106248547922 . 0.023964623041164347\n",
      "0.021209508879201904 . 0.027792835142057916\n",
      "0.025595479226995357 . 0.03236209238814181\n",
      "0.030888435964774818 . 0.037787882181576846\n",
      "0.0372759372031494 . 0.04418431817009356\n",
      "0.04498432668969444 . 0.05171110299805835\n",
      "0.054286754393238594 . 0.06070569383339915\n",
      "0.0655128556859551 . 0.07094695221914969\n",
      "0.07906043210907697 . 0.0827734266101652\n",
      "0.09540954763499938 . 0.09636146408651287\n",
      "0.1151395399326447 . 0.11194809812173298\n",
      "0.13894954943731375 . 0.12976711341427571\n",
      "0.16768329368110074 . 0.1500372405301419\n",
      "0.20235896477251566 . 0.1735250217003956\n",
      "0.2442053094548651 . 0.19951251102781703\n",
      "0.29470517025518095 . 0.22788259095875107\n",
      "0.35564803062231287 . 0.2580345448884295\n",
      "0.42919342601287763 . 0.26744220405324287\n",
      "0.517947467923121 . 0.2700310260104859\n",
      "0.6250551925273969 . 0.27287554571991823\n",
      "0.7543120063354615 . 0.2752512988155447\n",
      "0.9102981779915218 . 0.2773784578764956\n",
      "1.0985411419875584 . 0.27966442806317887\n",
      "1.325711365590108 . 0.28208916049905913\n",
      "1.5998587196060574 . 0.2845081387569817\n",
      "1.9306977288832496 . 0.28658417125508934\n",
      "2.329951810515372 . 0.2888374372298076\n",
      "2.811768697974228 . 0.29054093847398327\n",
      "3.3932217718953264 . 0.292159243967864\n",
      "4.094915062380423 . 0.2925360811789259\n",
      "4.941713361323833 . 0.29256514604211453\n",
      "5.963623316594643 . 0.29133612694398636\n",
      "7.196856730011514 . 0.28961082840723873\n",
      "8.68511373751352 . 0.2867194030351832\n",
      "10.481131341546853 . 0.28325960899447095\n",
      "12.648552168552959 . 0.279362404943018\n",
      "15.264179671752318 . 0.27492740304683244\n",
      "18.420699693267146 . 0.26975009763610164\n",
      "22.229964825261934 . 0.2645002870543686\n",
      "26.826957952797247 . 0.258198573277836\n",
      "32.374575428176435 . 0.2509190585246602\n",
      "39.06939937054613 . 0.241862810664643\n",
      "47.1486636345739 . 0.23075767843775066\n",
      "56.89866029018293 . 0.21675250229219695\n",
      "68.66488450042998 . 0.19918975972712222\n",
      "82.86427728546842 . 0.1781788720003895\n",
      "100.0 . 0.15433920346242347\n"
     ]
    }
   ],
   "source": [
    "mdot_values = np.logspace(-2, 2, 50)  # From 0.01 to 100 with 50 points\n",
    "Ka_values = []\n",
    "ScF_values = []\n",
    "\n",
    "# Loop through mdot values\n",
    "for mdot in mdot_values:\n",
    "    # Initialize gas object in each iteration to avoid carrying over previous states\n",
    "    gas = ct.Solution('gri30.yaml')\n",
    "    gas.TP = T0, p0\n",
    "    gas.set_equivalence_ratio(phi, fuel, oxidizer)\n",
    "    \n",
    "    flame_cf = ct.CounterflowPremixedFlame(gas=gas, width=width)\n",
    "    flame_cf.transport_model = 'multicomponent'\n",
    "    flame_cf.energy_enabled = True\n",
    "    flame.soret_enabled = True\n",
    "    flame_cf.set_refine_criteria(ratio=2, slope=0.05, curve=0.1, prune=0.01)\n",
    "    flame_cf.reactants.mdot = mdot\n",
    "    flame_cf.products.mdot = mdot\n",
    "    flame_cf.products.T = Tad  ## no heat loss\n",
    "    flame_cf.products.X = Xflame\n",
    "    flame_cf.set_initial_guess(equilibrate=False)\n",
    "    \n",
    "    flame_cf.solve(loglevel, auto=True)\n",
    "\n",
    "    # Update temperature for current mdot\n",
    "    Tp = Tad #revise\n",
    "    \n",
    "    # Calculate the maximum gradient |du/dx|\n",
    "    grad_u = np.gradient(flame_cf.velocity, flame_cf.grid) \n",
    "    max_grad_idx = np.argmax(np.abs(grad_u))  # find max |du/dx| index\n",
    "    max_grad_value = np.abs(grad_u[max_grad_idx])\n",
    "    \n",
    "    # Calculate strain rate (Ka)\n",
    "    Ka = (thermal_diffusivity/flame_speed) / flame_speed * max_grad_value\n",
    "    Ka_values.append(Ka)\n",
    "    \n",
    "    ScF = calculate_consumption_speed(flame_cf, gas, ['CH4', 'H2'])\n",
    "    ScF_values.append(ScF)\n",
    "    print(ScF)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "8ff540fb-68a5-4d44-bff7-362d80969d69",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_values = []\n",
    "for i in ScF_values:\n",
    "    temp = i / flame_speed\n",
    "    y_values.append(temp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "c1fa35c1-7a56-41a4-adf4-f41351cf973c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/a6+gqi2lUol+/frhww8/BADtFWalVyGdOXOmTPvSq8cawqZNm8o8/u9//4vi4mL079+/TL3V+exbWFige/fu2LZtW5n2Go0GGzduhIeHB1q3bl0vddfkuwsAe/fu1Y44AoBarUZ4eDhatGihvXru8ccfx7lz59CiRYsKP9Ol23z88ceRkZEBtVpdYTs/Pz8A0L6Hlb3HpB84ckM6Z8iQIfDw8MCIESPg7+8PjUaD2NhYfPLJJ7C0tMRrr72mbduuXTv8+OOPCA8PR/PmzWFqaop27do9cvuPP/443n33XSxcuBD9+vXD5cuXsWTJEvj6+kr2w83f3x8tWrTA3LlzIYSAnZ0dfvnlF0RFRZVrW7p/n332GSZOnAiFQgE/Pz/4+PhgyZIlmD9/Pm7cuIGhQ4eiWbNmuHPnDo4ePQoLCwssXrz4kXXI5XJMmDABy5cvh7W1NUaPHg0bGxvt81lZWRgwYADGjRsHf39/WFlZ4dixY/j9998xevRobbslS5ZgyZIl2Lt3L/r161fp69nY2GDnzp14/PHH0alTpzKT+F29ehUbN27E6dOnMXr0aBgZGWHZsmV4/vnn8fjjj2Pq1KkoLCzERx99hMzMzFrNgLtgwQLcvn0bgwYNgoeHBzIzM/HZZ59BoVBo6+7atSv8/Pzw5ptvori4GM2aNcP27dtx8ODBGr9edW3btg3GxsYICQnB+fPn8c4776BDhw545plntG1q8tlfunQpQkJCMGDAALz55pswMTHBypUrce7cOWzZsqXC0cTaaNu2LQYNGoRhw4ahRYsWKCgowJEjR/DJJ5/A2dkZkydPLtPewcEBAwcOxDvvvAMLCwusXLkSly5dKnM5+JIlSxAVFYXg4GDMmjULfn5+KCgowM2bNxEREYGvv/4aHh4eePbZZ7Fp0yYMHz4cr732Grp16waFQoHbt29j3759GDVqFJ588km0adMGL7zwAlasWAGFQoHBgwfj3Llz+Pjjj8sdLqYmTOITmonKCQ8PF+PGjROtWrUSlpaWQqFQCC8vLzF+/Hhx4cKFMm1v3rwpQkNDhZWVlfYSWiH+dyXLPy8pLVVYWCjefPNN4e7uLkxNTUXnzp3Fjh07xMSJE7Xrl0IlV0sdO3asTLuKrpypyMSJE4WFhUWFz124cEGEhIQIKysr0axZM/H000+L+Pj4cjUIIcS8efOEm5ubMDIyKve6O3bsEAMGDBDW1tZCqVQKb29v8dRTT4k//vjjkbWVunLlivZql6ioqDLPFRQUiGnTpon27dsLa2trYWZmJvz8/MTChQtFXl6etl3pVT9VvR+lUlJSxL/+9S/Rtm1bYW5uLpRKpWjZsqWYOnWqOHv2bJm2O3bsEN27dxempqbCwsJCDBo0SPz9999l2pS+flpaWpnlD1/59Ouvv4phw4YJd3d3YWJiIpycnMTw4cPLXFZe+p6EhoYKa2tr4ejoKGbOnCl2795d4dVSbdu2Lbd/3t7e4rHHHiu3HICYPn16ubpPnDghRowYISwtLYWVlZV47rnnxJ07d8qsW9lnv6KrpYQQIjo6WgwcOFBYWFgIMzMz0aNHD/HLL79U+P7U9vO9evVqMXr0aNG8eXNhbm4uTExMRIsWLcS0adNEQkJChfu+cuVK0aJFC6FQKIS/v7/YtGlTue2mpaWJWbNmCV9fX6FQKISdnZ0ICgoS8+fPLzONgEqlEh9//LHo0KGDMDU1FZaWlsLf319MnTpVXL16VduusLBQvPHGG8LJyUmYmpqKHj16iEOHDglvb29eLaUnOEMxEZGOWLRoERYvXoy0tLQGPQ9GF8hkMkyfPh1ffvml1KWQHuI5N0RERKRXGG6IiIhIr/CwFBEREekVjtwQERGRXmG4ISIiIr3CcENERER6xeAm8dNoNEhKSoKVlVW9TVxFREREDUsIgZycHLi5uZW5eW5FDC7cJCUlwdPTU+oyiIiIqBYSEhK0t+eojMGFm9KbpyUkJHCq7VpSqVTYs2cPQkNDoVAopC6H6hH7Vj+xX/WXIfVtdnY2PD09tb/HH8Xgwk3poShra2uGm1pSqVQwNzeHtbW13n+ZDA37Vj+xX/WXIfZtdU4p4QnFREREpFcYboiIiEivGNxhqepSq9VQqVRSl6GTVCoVjI2NUVBQALVaLXU5OsfExKTKM/mJiKjhMNw8RAiBlJQUZGZmSl2KzhJCwMXFBQkJCbycvgJGRkbw9fWFiYmJ1KUQERkkhpuHlAYbJycnmJub85d3BTQaDXJzc2FpackRioeUzqOUnJwMLy8vfn6IiCTAcPMParVaG2zs7e2lLkdnaTQaFBUVwdTUlOGmAo6OjkhKSkJxcbHBXL1ARKRL+JvpH0rPsTE3N5e4EmrKSg9H8XwkIiJpMNxUgIcSqC74+SEikhbDDREREekVhhsiIiLSKww3REREpFcYbvSATCZ75L9JkyY1yOsmJydj3Lhx8PPzg5GREWbPnl1huxUrVsDPzw9mZmbw9PTE66+/joKCAu3zS5cuRdeuXWFlZQUnJyc88cQTuHz5cpltCCGwaNEiuLm5wczMDP3798f58+errDEzMxPTp0+Hq6srTE1N0aZNG0RERGif/+uvvzBixAi4ublBJpNhx44d5bbRv3//cvv22WefQalUYvPmzVXWQEREjYuXguuB5ORk7f+Hh4djwYIFZcKBmZlZg7xuYWEhHB0dMX/+fHz66acVttm0aRPmzp2LdevWITg4GFeuXNGGrdJ1Dhw4gOnTp6Nr164oLi7G/PnzERoaigsXLsDCwgIAsGzZMixfvhwbNmxA69at8d577yEkJASXL1+u9A6xRUVFCAkJgZOTE3766Sd4eHggISGhTPu8vDx06NABL774IsaMGVOt/V64cCE++ugjbN++HcOHD6/u20XUaO7mFeGlDccQm5AJABja1hkd+NOeDAg/7lUQQuC+SppLes0U8mpdeePi4qL9fxsbG8hksjLLAODmzZvw9fXFli1b8Pnnn+PkyZNo0aIFvvrqK/Tv379W9fn4+OCzzz4DAKxbt67CNocOHUKvXr0wbtw47TrPPfccjh49qm3z+++/l1ln/fr1cHJywokTJ9C3b18IIbBixQrMnz8fo0ePBgB89913cHZ2xubNmzF16tQKX3vdunW4e/cuYmJitPPNeHt7l2kzbNgwDBs2rFr7K4TArFmz8MMPP2DPnj3o3bt3tdYjamyn4u9pgw0A/H7+Dn6HMT48vQePtXNFG1crtHG1Rjt3GzhZm0pXKFEDYbipwn2VGgELIiV57QtLhsDcpH676K233sKKFSsQEBCA5cuXY+TIkYiLi9NOWmhpafnI9fv06YPdu3dX+/V69+6NjRs34ujRo+jWrRtu3LiBiIgITJw4sdJ1srKyAAB2dnYAgLi4OKSkpCA0NFTbRqlUol+/foiJiak03OzatQs9e/bE9OnTsXPnTjg6OmLcuHH417/+BblcXu19AIDi4mKMHz8ef/zxBw4cOIAOHTrUaH2ixjTQ3wn/fqwNVu2/joy8ojLP7T6bjN1n/zfa625rho6etujoaYtOXrYIdLeBqaJm3w8iXcNwY2BmzJihPfyyatUq/P777/j222/x9ttvAwBiY2MfuX5ND3E9++yzSEtLQ+/evSGEQHFxMV599VXMnTu3wvZCCMyZMwe9e/dGYGAggJJbYgCAs7NzmbbOzs64detWpa9948YN/Pnnn3j++ecRERGBq1evYvr06SguLsaCBQtqtB/ffPMNAOD06dPw9/ev0bpEjU0mk2FKn+aY0qc5AOBM/F2MXHkIAPBcNy/cLyrGheRsXE3NRWLmfSRm3tcGHmMjGfxdrUrCjmczdPKyha+DBedvoiaF4aYKZgo5LiwZItlr17eePXtq/9/Y2BhdunTBxYsXtctatmxZ5TY0Gk21X2///v14//33sXLlSnTv3h3Xrl3Da6+9BldXV7zzzjvl2s+YMQNnzpzBwYMHyz338A9XIcQjf+BqNBo4OTlhzZo1kMvlCAoKQlJSEj766KMah5vevXsjNjYW//73v/Hjjz/C2JhfHWo62rhaIcBWgwuZRrA2M8bS0e0AALmFxThzOxOxCZk4FV/y37ScQpxLzMa5xGxsPBwPAGjtbIknOrljVEd3uNs2zDl8RPWJP6GrIJPJ6v3QkK75Z0Co78NS77zzDsaPH48pU6YAANq1a4e8vDy88sormD9/fpl7U82cORO7du3CX3/9BQ8PD+3y0vOHUlJS4Orqql2emppabjTnn1xdXaFQKMocgmrTpg1SUlJQVFRUo7t2t2vXDp988gkGDx6MZ555BuHh4bxvFDUpPZ0FLmQCP59IxNyh/pDJZLBUGiO4hQOCWzgAKPmDITHzPmITMhH7IOycuZ2FK3dysez3y1j2+2V097XDk53cMaydK2zM+B0g3aTfv7WpnMOHD6Nv374ASs4jOXHiBGbMmKF9vr4PS+Xn55e7uaZcLocQAkIIACU/UGfOnInt27dj//798PX1LdPe19cXLi4uiIqKQqdOnQCUXAl14MABfPjhh5W+dq9evbB582ZoNBptDVeuXIGrq2uNgk2pjh074s8//8TgwYPx9NNPY+vWrQw41GQE2ArIZEB6biHSc4vgaKUs10Ymk8GjmTk8mpnj8fZuAICs+yr8fi4Z208l4vCNuzgSV/Jvwc7zGOjvhCc6uWOAvyOUxjxPh3QHw42B+eqrr9CqVSu0adMGn376Ke7du4eXXnpJ+3xND0uVhqHc3FykpaUhNjYWJiYmCAgIAACMGDECy5cvR6dOnbSHpd555x2MHDlSO6Iyffp0bN68GTt37oSVlZX2HBsbGxuYmZlBJpNh9uzZ+M9//oNWrVqhVatW+M9//gNzc3PtVVgAMGHCBLi7u2Pp0qUAgFdffRVffPEFXnvtNcycORNXr17Ff/7zH8yaNUu7Tm5uLq5du6Z9HBcXh9jYWNjZ2cHLy6vcvrdv3x779u3DwIED8dRTT2Hr1q21CkpEjc3YCHCzMUViZgFuZeRVGG4qYmOmwNiuXhjb1QuJmfexKzYJ20/dxpU7ufj9fAp+P58Ca1NjPN7BDS9090aAm3UD7wlR1RhuDMwHH3yADz/8EKdOnUKLFi2wc+dOODg41Hp7pSMpAHDixAls3rwZ3t7euHnzJgDg3//+N2QyGf79738jMTERjo6OGDFiBN5//33teqtWrQKAcpekr1+/Xjsnzttvv4379+8jLCwM9+7dQ/fu3bFnz54yc9bEx8eXGSXy9PTEnj178Prrr6N9+/Zwd3fHa6+9hn/961/aNsePH8eAAQO0j+fMmQMAmDhxIjZs2FDhPrdt2xb79u3DoEGDMGbMGPz8888MONQkeNmZIzGzADcz8tHFx67G67vbmuHV/i0wrV9zXEzOwc7YROyITcSd7EJsPhKPzUfi0c3HDhODfRDa1hkKOeeJJWnIROmxAQORnZ0NGxsbZGVlwdq67F8YBQUFiIuLg6+vL0xN9Wvuh9J5bk6dOoWOHTvWaVsajQbZ2dmwtrYud8iJmvbnSKVSISIiAsOHD+chNz1S2q8xKm+EH0/Ea4Na4fWQ1vWybbVG4PCNDGw+Go/fz6VArSn5leJibYoXenjh2W5ecLCs3igR1ZwhfWcf9fv7YRy5ISIyEJ7NzAEA8Xfz622bciMZerV0QK+WDkjJKsCmI7ew5Wg8UrIL8PGeK/h87zU83sEVk4J90N7Dtt5el+hRGG6IiAyEvWXJ4dPM/KIqWtaOi40p3gj1w4yBLRFxNhkbYm7hdEImtp1MxLaTiejoaYsXe/ngsXauMOYhK2pADDcGwsfHBwZ2BJKIHiJ/MO2DpoF/FCiN5Xiykwee7OSB2IRMfBdzE7+eSUJsQiZe+zEWH++5jGn9WmBMZw/OhkwNgtGZiMhAGD2Y0krTiH/odPS0xadjOyJm7iDMCWkNewsTJNy9j/nbz6Hvsn1YG30DeYXFjVYPGQaGmwpwhIPqgp8f0lWlIzZS3ErB0UqJWYNa4eC/BmLhiAC42pgiNacQ7+2+iF4f/onP/rjaYIfLyPAw3PxD6Znm+fn1d7IdGZ6iopIf0DW9OSdRQyssLpmjSmks3Y9+MxM5XuzliwNvDcCyMe3h62CBzHwVPv3jCnp98CeWRlxEanaBZPWRfuA5N/8gl8tha2uL1NRUAIC5uTlvFlcBjUaDoqIiFBQU8FLwh2g0GqSlpcHc3Jz3nyKdU6QuCTcmEoabUibGRnimqyfGBHkg4mwyvtp3DZdScrD6rxtYH3MTY7t4YuaglnCyalrTKZBu4E/fh5Tex6g04FB5Qgjcv39fO3swlWVkZAQvLy++N6Rz7hepATTMTXlrS24kw4gObni8vSv2XU7Fl39ew8n4TPxw+BZ+OnEbL/fxxSv9WsBSyV9XVH38tDxEJpPB1dUVTk5OUKlUUpejk1QqFf766y/07dtX7yeNqg0TExOOaJFOyisqOXFXF4OCTCbDQH9nDPBzwqEbGVj2+2XEJmTi8z+vYdOReMwa1ArPdfPSiVEn0n269wnXEXK5nOdMVEIul6O4uBimpqYMN0RNSP6DkRtzE9392SaTyRDcwgHbw+zx+7kULIu8jLj0PCzcdR7r/o7Dm6F+eKydK4yMODJKlWMEJiIyENkFJSM3Vqa6/0eJTCbDsHau2PN6X7z3RCAcLJW4lZGPmVtOYdRXfyPmWrrUJZIOY7ghIjIQOfdLDrXbmOl+uCmlkBvhhR7eOPBWf8wJaQ0LEznOJmZh3NojmLDuKC4mZ0tdIukgycPNypUrtTcYDAoKQnR09CPbb9q0CR06dIC5uTlcXV3x4osvIiMjo5GqJSJquu7ll4QbW/OmE25KWSiNMWtQKxx4ewAmBfvA2EiGv66k4bHPo/H+7gvIL+JEgPQ/koab8PBwzJ49G/Pnz8epU6fQp08fDBs2DPHx8RW2P3jwICZMmIDJkyfj/Pnz2Lp1K44dO4YpU6Y0cuVERE3PnQfzxzhbN927dDtYKrFoZFvsfaMfhrdzgUYA30THIWT5X9h3iVe5UglJw83y5csxefJkTJkyBW3atMGKFSvg6emJVatWVdj+8OHD8PHxwaxZs+Dr64vevXtj6tSpOH78eCNXTkTUtGgEcCenEADgYmMmcTV1521vgZXPB2H9pK5wtzVDYuZ9vLjhGKZvPonUHE4CaOgku1qqqKgIJ06cwNy5c8ssDw0NRUxMTIXrBAcHY/78+YiIiMCwYcOQmpqKn376CY899lilr1NYWIjCwkLt4+zskuOzKpWKl3rXUun7xvdP/7Bv9ZNKpUKOClCpBeRGMjQzNdKbPu7dohkiZvbE539ex/qYW9h9JhnRV9LwVmhrPBPkrvdXVRnSd7Ym+yhZuElPT4darYazs3OZ5c7OzkhJSalwneDgYGzatAljx45FQUEBiouLMXLkSHzxxReVvs7SpUuxePHicsv37NkDc3Pzuu2EgYuKipK6BGog7Fv9k3q/5Jd8MxMNoiJ/l7ia+tcewJxAIPyGHAl5xXhn1wWs33ceY5ur4WIAP+oN4Ttbk1sjST7PzcOzuAohKp3Z9cKFC5g1axYWLFiAIUOGIDk5GW+99RamTZuGb7/9tsJ15s2bhzlz5mgfZ2dnw9PTE6GhobC2tq6/HTEgKpUKUVFRCAkJ4Tw3eoZ9q59UKhViNv4BAGjr5YjhwztLXFHDmazW4IcjCVix9xpu5Kjx8TkFpvbxxbS+vlDq0MzM9cWQvrOlR16qQ7Jw4+DgALlcXm6UJjU1tdxoTqmlS5eiV69eeOuttwAA7du3h4WFBfr06YP33nsPrq6u5dZRKpVQKsufPKdQKPT+g9DQ+B7qL/at/ikduWnhaKXXfatQAK/0a4nHOrhjwY5z2HspFV/uv4GIc3fwn9Ht0KO5vdQlNghD+M7WZP8kO6HYxMQEQUFB5YbSoqKiEBwcXOE6+fn55aa1L51FWAjRMIUSEemBtAfn2Po6WkhbSCNxtzXD2oldsPL5znC0UuJGeh6eXXMYc38+g6x8/T8/xdBJerXUnDlzsHbtWqxbtw4XL17E66+/jvj4eEybNg1AySGlCRMmaNuPGDEC27Ztw6pVq3Djxg38/fffmDVrFrp16wY3NzepdoOISOelFZSM3PjYG8AJKA/IZDIMb+eKP+b0w3PdvAAAPx5LwKDlB7D7TDL/KNZjkp5zM3bsWGRkZGDJkiVITk5GYGAgIiIi4O3tDQBITk4uM+fNpEmTkJOTgy+//BJvvPEGbG1tMXDgQHz44YdS7QIRkc5Lzy1E+oORGx97wxi5+ScbMwWWjm6HJzq6Yd72s7iRlofpm09icBsnLBkVCDfbpn9pPJUlEwYWXbOzs2FjY4OsrCyeUFxLKpUKERERGD58uN4f4zU07Fv9I4TAK98fR9TFVAS4WmH3rD6VXrRhCApUaqzcfx2r9l+DSi1gYSLH20P98UIPb8ib4GXjhvSdrcnvb8lvv0BERA3n1zPJiLqYCiOZwNIn2xp0sAEAU4Ucc0JaY/esPujsZYu8IjUW7jqPp76OweWUHKnLo3rCcENEpKfScwuxYOc5AECou0CAK0erS7V2tsJP04Lx7qi2sFQa41R8Jh77PBrLo66gWK2RujyqI4YbIiI9tWDnOdzLV8HfxQoh7vyF/TAjIxnG9/RB1Jy+CAlwRrFG4PO9V/H82iNIzeYtHJoyhhsiIj20+0wyIs6mwNhIhg9Ht4Uxf9pXytXGDGvGB+GzZzvCwkSOI3F3Mfzzg4i5ni51aVRL/LgTEemZjNxCvPPgcFTYgJY8HFUNMpkMozq6Y9fM3vB3sUJ6biFeWHsEX/55FRqNQV13oxcYboiI9MyCnedxN68I/i5WmDGgpdTlNCktHC2xPawXng7ygEYAH++5ghc3HMPdvCKpS6MaYLghItIju88kY/fZZMiNZPj46Q4w4fGoGjMzkeOjpztg2VPtoTQ2woEraXjs82icuHVP6tKomvipJyLSExn/uDpqev8WCHS3kbiipu2ZLp7YMb0XmjtYIDmrAGNXH8La6Buc2bgJYLghItITC3edR0bp4aiBraQuRy+0cbXGzhm98Fh7VxRrBN7bfRGvbjyJ7ALen0qXMdwQEemByPMp+PVMyeGoj57i4aj6ZGWqwJfPdcKSUW2hkMvw+/kUjPziIG6k5UpdGlWCn34iIj2wcv91AMArfZujnQcPR9U3mUyGCT198NO0YLjbmuFmRj5Gr4rB8Zt3pS6NKsBwQ0TUxF1MzsbphEwo5DJM7u0rdTl6rYOnLXZM74UOHjbIzFdh3Noj2H0mWeqy6CEMN0RETVz4sQQAQEiAMxwslRJXo/8crZTY8koPDG7jjKJiDaZvPolv/uKJxrqE4YaIqAkrUKmx7eRtAMCzXb0krsZwmJsYY/X4IEwK9gEAvB9xEYt2nYeaE/7pBIYbIqIm7LdzycguKIa7rRl6t3SQuhyDIjeSYeGIAPz7sTaQyYDvDt3C1B9OIL+oWOrSDB7DDRFRE7blaMkhqbFdPWFkJJO4GsMjk8kwpU9zfDWuM0yMjfDHxTt4bs1hpOUUSl2aQWO4ISJqom6k5eJo3F0YyYCnu3hIXY5BG97OFVte7o5m5gqcvp2F0av+xrVUXiouFYYbIqImqvRE4gF+TnC1MZO4GgrytsO2sF7wtjdHwt37GLMqBkduZEhdlkFiuCEiaoKKijX46cSDE4m78URiXeHrYIFtrwajk5ctsu6rMP7bozh4NV3qsgwOww0RURP0x8U7yMgrgpOVEgP8HKUuh/7B3lKJLS/3QEiAM4rUGrzyw3GciudNNxsTww0RURP044NDUk938YCxnD/KdY2pQo4vx3VCn1YOyC9SY9L6Y7ickiN1WQaD3wgioiYm4W4+oq+mAQDGduEhKV2lNJbj6xeC/nGI6ggS7uZLXZZBYLghImpith5PgBBAr5b28LI3l7ocegQLpTHWT+oKP2crpOYU4vm1R5CaXSB1WXqP4YaIqAlRawT+e5wzEjcltuYm+GFyN3jZmSP+bj4mrDuKrHyV1GXpNYYbIqIm5MCVVKRkF6CZuQKhbZ2lLoeqycnaFBsnd4eTlRKXUnLw4oajnMm4ATHcEBE1IaUzEo/p7AGlsVziaqgmvOzN8cPk7rAxU+BkfCam/nAChcVqqcvSSww3RERNRGp2Af68lAoAeLabp8TVUG34uVhh/YtdYaaQI/pqOuaEn+bNNhsAww0RUROx9cRtqDUCXbyboaWTldTlUC119mqGNROCoJDLsPtsMv694yyEYMCpTww3RERNgEYjtLdb4IzETV+fVo747NlOMJKVHGr84PdLUpekVxhuiIiagEM3MhB/Nx9WSmMMb+cidTlUD4a3c8XS0e0AAKsP3MD3h25KW5AekTzcrFy5Er6+vjA1NUVQUBCio6MrbTtp0iTIZLJy/9q2bduIFRMRNb4tR+MBAKM6ucHcxFjiaqi+jO3qhbeH+gEA3v31AmITMqUtSE9IGm7Cw8Mxe/ZszJ8/H6dOnUKfPn0wbNgwxMfHV9j+s88+Q3JysvZfQkIC7Ozs8PTTTzdy5UREjeduXhH2nL8DgHPb6KNX+7XA0LYuUKkFpm86iXt5RVKX1ORJGm6WL1+OyZMnY8qUKWjTpg1WrFgBT09PrFq1qsL2NjY2cHFx0f47fvw47t27hxdffLGRKyciajzbTt5GkVqDdu42CHS3kbocqmcymQzLnm4PH3tzJGbex+v/jYWGV1DViWRjm0VFRThx4gTmzp1bZnloaChiYmKqtY1vv/0WgwcPhre3d6VtCgsLUVhYqH2cnZ0NAFCpVFCpOENkbZS+b3z/9A/7VvcIIbSHpJ7q7FarvmG/6j4zOfD52A54es0R7L+chs/3XsH0/s2rXM+Q+rYm+yhZuElPT4darYazc9kZNp2dnZGSklLl+snJyfjtt9+wefPmR7ZbunQpFi9eXG75nj17YG7Oe7LURVRUlNQlUANh3+qOuBzgepoxTIwETFPOIiLibK23xX7VfaO9ZdhyXY7P9l5FUdJl+NlWbwTHEPo2P7/6Nx2V/Kw0mUxW5rEQotyyimzYsAG2trZ44oknHtlu3rx5mDNnjvZxdnY2PD09ERoaCmtr61rVbOhUKhWioqIQEhIChUIhdTlUj9i3uudf284BSMKIju4YPTKwVttgvzYdwwGotp/HTycT8WO8KXY+3hMu1qaVtjekvi098lIdkoUbBwcHyOXycqM0qamp5UZzHiaEwLp16zB+/HiYmJg8sq1SqYRSqSy3XKFQ6P0HoaHxPdRf7FvdkF2gQsS5kp+R47p717lP2K9Nw3tPtsP55BxcTM7G6/89iy2v9IBC/uhTZA2hb2uyf5KdUGxiYoKgoKByQ2lRUVEIDg5+5LoHDhzAtWvXMHny5IYskYhIUjtjk1Cg0qCVkyU6ezWTuhxqJKYKOVY93xlWSmMcv3UPyzjBX41JerXUnDlzsHbtWqxbtw4XL17E66+/jvj4eEybNg1AySGlCRMmlFvv22+/Rffu3REYWLshWiKipiD8WMmJxM9286rW4XrSHz4OFvjo6Q4AgG+i4/D7uWSJK2paJD3nZuzYscjIyMCSJUuQnJyMwMBAREREaK9+Sk5OLjfnTVZWFn7++Wd89tlnUpRMRNQoziVm4VxiNkzkRhjdyV3qckgCQwNd8HIfX3wTHYe3tp6Bv4s1fBwspC6rSZD8hOKwsDCEhYVV+NyGDRvKLbOxsanRGdNERE1R6eXfQwJd0Mzi0ecWkv56e6g/TsVn4vite3h100lsDwuGqUIudVk6T/LbLxARUVn5RcXYGZsEAHiuq6fE1ZCUFHIjfDmuM+wtTHAxORsLd56XuqQmgeGGiEjH7D6TjNzCYnjbm6NHc3upyyGJudiY4vPnSu4gHn48AVuPJ0hdks5juCEi0jE/Hiv55fVMF08YGfFEYgJ6tXTAnJDWAIAlv1xAak6BxBXpNoYbIiIdcuVODk7cuge5kQxPB3lIXQ7pkFf7t0R7DxvkFBZjaQQvD38UhhsiIh0S/mDUZpC/E5weMTMtGR65kQzvPREImQzYfioRh65nSF2SzmK4ISLSEQUqNbadvA0AeK6bl8TVkC5q72GL57uXfDbe2XkORcUaiSvSTQw3REQ6YldsEu7lq+Bua4a+rR2lLod01Fuh/rC3MMG11Fysj7kldTk6ieGGiEgHCCGw7u84AMCEnt6Q80RiqoSNuQL/N7wNAOCr/ddxt1DignQQww0RkQ44fOMuLqXkwEwhx7NdeUiKHm10Z3d087HDfZUG2+L4q/xhfEeIiHTAhpiSUZvRnd1hY67fd3emupPJZHj3iUAYG8lw9p4R/rycJnVJOoXhhohIYgl38xF14Q4AYFKwj7TFUJPh52KFScEl92J899eLuF+klrgi3cFwQ0QksR8O34JGAH1aOaCVs5XU5VATMqN/c9iaCNzOLMDK/dekLkdnMNwQEUkov6gYPz64SeaLvXykLYaaHAulMZ70KbkcfPWBG7iRlitxRbqB4YaISEI/n0xEdkExfOzN0b+1k9TlUBPUwU6gbyt7FKk1WLDzPIQQUpckOYYbIiKJCCGw4cHl3xODfXgfKaoVmQxY8FgbmBgb4eC1dOw+myx1SZJjuCEikkj01XRcT8uDpdIYT/E+UlQH3vbmCOvfAkDJjTVzClQSVyQthhsiIomsfzBq81SQB6xMefk31c20fi3gbW+O1JxCrPjjqtTlSIrhhohIAnHpedh3OQ0yGS//pvphqpBj8ci2AIANMTdxISlb4oqkw3BDRCSB72JuAgAG+jnBx8FC2mJIb/T3c8KwQBeoNQLv7DxnsCcXM9wQETWy7AIVth5PAABM4uXfVM/eeTwA5iZynLh1D3svpkpdjiQYboiIGtlPx28jr0iNVk6W6N3SQepySM+42ZphQk8fAMAX+64Z5OgNww0RUSNSawS+O3QTQMmojUzGy7+p/k3p4wtThRFOJ2Ti4LV0qctpdAw3RESNaN+lVNzKyIe1qTGe7OQudTmkpxwslXiuW8nd5b/40/Buy8BwQ0TUiDY8OJH4uW5eMDcxlrYY0muv9G0OE7kRjsbdxZEbGVKX06gYboiIGsmVOzk4eC0dRjJgfE9vqcshPedqY4anupRMDvnlPsMavWG4ISJqJOv/vgkACA1wgUczc2mLIYPwar8WkBvJEH01HbEJmVKX02gYboiIGkFmfhG2n7oNgHf/psbjaWeOJzqWnNv1pQGde8NwQ0TUCH48loAClQYBrtbo5msndTlkQMIGtIBMBvxx8Y7BzFrMcENE1MCK1Rr8cOgWAF7+TY2vhaMlHmvnCgD4ar9hjN4w3BARNbCoC3eQmHkf9hYmGNnBTepyyABNH9ASABBxNhnXUnMlrqbhMdwQETWw0hOJx3X3gqlCLm0xZJDauFojJMAZQgArDWD0RvJws3LlSvj6+sLU1BRBQUGIjo5+ZPvCwkLMnz8f3t7eUCqVaNGiBdatW9dI1RIR1cy5xCwcvXkXxkYyvNCDl3+TdGY8GL3ZGZuE+Ix8iatpWJKGm/DwcMyePRvz58/HqVOn0KdPHwwbNgzx8fGVrvPMM89g7969+Pbbb3H58mVs2bIF/v7+jVg1EVH1lU7aN7ydK5ytTaUthgxaB09b9G3tCLVGYNWB61KX06AknR5z+fLlmDx5MqZMmQIAWLFiBSIjI7Fq1SosXbq0XPvff/8dBw4cwI0bN2BnV3K1gY+PzyNfo7CwEIWFhdrH2dklZ4qrVCqoVKp62hPDUvq+8f3TP+zb+pWRW4idsYkAgPHdPSR7X9mv+qumfftqXx/8dSUNP51IwKt9feBq03QCd00+vzIh0e1Ci4qKYG5ujq1bt+LJJ5/ULn/ttdcQGxuLAwcOlFsnLCwMV65cQZcuXfDDDz/AwsICI0eOxLvvvgszM7MKX2fRokVYvHhxueWbN2+GuTkn0SKihhN5W4aIBDm8LQXmtFNLXQ4RAOCL83Jcy5ahr4sGY3w1UpdTbfn5+Rg3bhyysrJgbW39yLaSjdykp6dDrVbD2dm5zHJnZ2ekpKRUuM6NGzdw8OBBmJqaYvv27UhPT0dYWBju3r1b6Xk38+bNw5w5c7SPs7Oz4enpidDQ0CrfHKqYSqVCVFQUQkJCoFAopC6H6hH7tv4UFWvw/vJoAIWYNbQ9hndwlawW9qv+qk3f2vhlYNKGEziSbowPJ/aBg6WygausH6VHXqpD8ru2PTzfgxCi0jkgNBoNZDIZNm3aBBsbGwAlh7aeeuopfPXVVxWO3iiVSiiV5TtOoVDwS15HfA/1F/u27iLOJyI1pxBOVkqM6OgBhbHk12+wX/VYTfq2n58zOnraIjYhExsOJ2DesDYNXF39qMlnV7Jvm4ODA+RyeblRmtTU1HKjOaVcXV3h7u6uDTYA0KZNGwghcPv27Qatl4ioJkov/36hhzdMdCDYEJWSyWSYObDkyqmNh27hXl6RxBXVP8m+cSYmJggKCkJUVFSZ5VFRUQgODq5wnV69eiEpKQm5uf+bgOjKlSswMjKCh4dHg9ZLRFRdp+LvITYhEyZyI4zr7iV1OUTlDPR3QhtXa+QVqbH+wRV9+kTSPyfmzJmDtWvXYt26dbh48SJef/11xMfHY9q0aQBKzpeZMGGCtv24ceNgb2+PF198ERcuXMBff/2Ft956Cy+99FKlJxQTETW20lGbkR3dmsz5DGRY/jl6s+HvOGQX6NeVdJKeczN27FhkZGRgyZIlSE5ORmBgICIiIuDtXTLRVXJycpk5bywtLREVFYWZM2eiS5cusLe3xzPPPIP33ntPql0gIiojPiMfu88mAwAmBftIWwzRIwxt64KWTpa4lpqLH4/G45W+LaQuqd5IfkJxWFgYwsLCKnxuw4YN5Zb5+/uXO5RFRKQrVu6/BrVGoF9rRwS621S9ApFEjIxkmNLbF3O3ncXmI/GY0rs5jIz046auPMuNiKie3L6Xj59OlFzcMGtQK4mrIaraiA5usFQa42ZGPg7dyJC6nHrDcENEVE++PnAdxRqBXi3tEeTdTOpyiKpkoTTGE51K7lS/+Ujltz5qahhuiIjqQUpWAf577MGozUCO2lDTMa5byXmukedTkJZTWEXrpoHhhoioHnx94DqK1Bp087VD9+b2UpdDVG0Bbtbo6GmLYo3A1hMJUpdTLxhuiIjqKDWnAFuOlgzpv8ZzbagJKp2P6cejCdBoJLnlZL1iuCEiqqNv/rqBwmINOnvZIrgFR22o6RnR3g1WpsaIv5uPg9fSpS6nzhhuiIjqICO3EBsPl4zazBrUqtJ74xHpMjMTOUZ3cgegHycWM9wQEdXB2oNxuK9So72HDfq1dpS6HKJaG9e95MTiqIt3kJpdIHE1dcNwQ0RUS/fyivD9g/vyzBrIURtq2vxcrBDk3QxqjcB/jzftE4sZboiIamn933HIK1IjwNUag9o4SV0OUZ2N61ZyYvGWowlQN+ETixluiIhqIeu+SnuDzFmDWnLUhvTCY+1dYWOmQGLmffx1NU3qcmqN4YaIqBa+i7mJnMJi+DlbITTARepyiOqFqUKO0Z2b/onFDDdERDWUU6DCtwfjAAAzBrbUm5sNEgHA8w/mvPnzUipSsprmicUMN0RENfTD4VvIuq9Cc0cLDG/nKnU5RPWqpZMVuvnYQa0RCD/WNE8sZrghIqqB/KJirI0uGbWZObAl5By1IT1UOmNx+LH4JnliMcMNEVENbDocj7t5RfC2N8eI9m5Sl0PUIIYGuqCZuQJJWQXYfzlV6nJqjOGGiKiaClRqrP7rBgBg+oCWMJbzRyjpJ1OFHGM6ewBomicW85tJRFRNW47GIz23EB7NzPDkg6nqifTVcw8OTe27nIqkzPsSV1MzDDdERNVQoFLj6wPXAQBh/VtCwVEb0nMtHC3Ro7kdNAL4sYmdWMxvJxFRNWw9cRt3sgvhamOKMUEctSHDUHq/qfBj8ShWaySupvoYboiIqlBUrMGqfdcAAK/2bwGlsVziiogax5C2zrCzMMGd7EL8eanpnFjMcENEVIVtJ28jKasATlZKPNPFU+pyiBqN0liOp4MenFh8tOmcWMxwQ0T0CCq1Bl/tLxm1mdqvBUwVHLUhw/Lcg5tpHriShoS7+RJXUz0MN0REj7AzNgkJd+/DwdJEe8dkIkPi42CBXi3tIQSazIzFDDdERJVQawS+enCuzct9msPMhKM2ZJhKR2+2n0qEpgnMWMxwQ0RUiV/PJCEuPQ/NzBV4oYe31OUQSWZwG2dYKY2RmHkfJ+LvSV1OlRhuiIgqoNEIfPFnyajNlD7NYaE0lrgiIumYKuQYEugCANgZmyhxNVVjuCEiqsBv51JwLTUX1qbGmNCTozZEozqW3Ett95lkqHR8zhuGGyKih5SM2lwFALzU2xdWpgqJKyKSXs/m9nCwVOJevgoHr6ZLXc4jMdwQET3k9/MpuJSSA0ulMV4M9pW6HCKdYCw3wuPtXQHo/qEpycPNypUr4evrC1NTUwQFBSE6OrrStvv374dMJiv379KlS41YMRHps8JiNT74reRnyku9fWFjzlEbolKlh6b2XLiD/KJiiaupXK3OkLt69SpiYmKQkpICmUwGZ2dnBAcHo1WrVjXaTnh4OGbPno2VK1eiV69eWL16NYYNG4YLFy7Ay6vy+SQuX74Ma2tr7WNHR8fa7AYRUTk/HLqF+Lv5cLJSYmrf5lKXQ6RTOnrawsvOHPF38/HHxVSM7OAmdUkVqlG4ycrKwoQJE/DLL7/AxsYGTk5OEEIgLS0N2dnZGDFiBL7//vsyweNRli9fjsmTJ2PKlCkAgBUrViAyMhKrVq3C0qVLK13PyckJtra2NSmdiKhKd/OK8NneknNt3hzixyukiB4ik8kwqqMbvvjzGnbFJupHuJk5cybi4uJw6NAhdO/evcxzR44cwSuvvIKZM2fiu+++q3JbRUVFOHHiBObOnVtmeWhoKGJiYh65bqdOnVBQUICAgAD8+9//xoABAyptW1hYiMLCQu3j7OxsAIBKpYJKpaqyTiqv9H3j+6d/DL1vP426jJyCYrRxscLIds568z4Yer/qMyn6dnhbJ3zx5zXsv5yG1Kw8NDM3aZTXrck+1ijc7Nq1C5GRkeWCDQB0794dq1evxtChQ6u1rfT0dKjVajg7O5dZ7uzsjJSUlArXcXV1xZo1axAUFITCwkL88MMPGDRoEPbv34++fftWuM7SpUuxePHicsv37NkDc3PzatVKFYuKipK6BGoghti3d+4Dm2LlAGQYaJeJyN9/k7qkemeI/WooGrtv3c3lSMwHPg7fi17OjTNjcX5+9e9rVeMxV5lMVqvnqruOEKLS7fj5+cHPz0/7uGfPnkhISMDHH39cabiZN28e5syZo32cnZ0NT09PhIaGVvvwGZWlUqkQFRWFkJAQKBQ82VKfGHLfTt14ChqkYaCfI2Y/10nqcuqVIfervpOqbxOt47As8iriNA54f3jXRnnN0iMv1VGjcDNixAi8/PLL+Pbbb9GlS5cyzx0/fhzTpk3DyJEjq7UtBwcHyOXycqM0qamp5UZzHqVHjx7YuHFjpc8rlUoolcpyyxUKBb/kdcT3UH8ZWt/+fS0df15Og7GRDPMfD9DbfTe0fjUkjd23T3TyxLLIqzh28x7S8orhZmvW4K9Zk/2r0aXgX3zxBdzc3NCtWzfY2dnB398fbdq0gZ2dHbp37w5XV1d8/vnn1dqWiYkJgoKCyg2lRUVFITg4uNo1nTp1Cq6urjXZDSIiLbVG4L3dFwEAL/TwRgtHS4krItJ9brZm6OZrBwD45XSSxNWUV6ORG1tbW/z222+4ePEiDh8+rB11cXFxQc+ePeHv71+jF58zZw7Gjx+PLl26oGfPnlizZg3i4+Mxbdo0ACWHlBITE/H9998DKLmaysfHB23btkVRURE2btyIn3/+GT///HONXpeIqNTPJ2/jYnI2rE2N8dqgmk1nQWTIRnV0w9G4u9gZm4Sp/VpIXU4ZtbrOsU2bNmjTpk2dX3zs2LHIyMjAkiVLkJycjMDAQERERMDbu+Q+LsnJyYiPj9e2LyoqwptvvonExESYmZmhbdu22L17N4YPH17nWojI8OQVFuPjyMsAgFmDWqGZReNc9UGkD4YHumLhzvO4kJyNq3dy0MrZSuqStKodbnbt2lXtjVb3vBsACAsLQ1hYWIXPbdiwoczjt99+G2+//Xa1t01E9Cir/7qB1JxCeNmZYzxvjklUI80sTNCvtSP2XkrFrtNJeCPUr+qVGkm1w80TTzxRrXYymQxqtbq29RARNYrkrPtY89d1AMC8Yf5QGsslroio6RnZ0Q17L6ViZ2wS5oS0rtVV0w2h2icUazSaav1jsCGipuCjyMsoUGnQ1acZhga6SF0OUZMUEuAMM4Uc8XfzEZuQKXU5WpLfOJOIqLGduZ2JbSdL7mr878cCdOavTaKmxtzEGKFtS6Zv2RmrO1dN1SjcHDlyBL/9VnbWzu+//x6+vr5wcnLCK6+8UuZWB0REukaI/136/WQnd3TwtJW2IKImrvRO4b+eSUaxWiNxNSVqFG4WLVqEM2fOaB+fPXsWkydPxuDBgzF37lz88ssvj7zhJRGR1CLP38HRuLtQGhvhrSG6cwIkUVPVp5UjmpkrkJ5biJjrGVKXA6CG4SY2NhaDBg3SPv7xxx/RvXt3fPPNN5gzZw4+//xz/Pe//633IomI6kNRsQYf/FYyavNyn+aNMqsqkb5TyI3wWPuSyXR15dBUjcLNvXv3ytwa4cCBA2VulNm1a1ckJCTUX3VERPXoh8O3cDMjHw6WSkzrr1uTjhE1ZaM6ugMAIs+noEAl/YVFNQo3zs7OiIuLA1Ayod7JkyfRs2dP7fM5OTm8bwkR6aTM/CJ8vvcqAODN0NawVNZqDlMiqkCQVzO425oht7AYf15KlbqcmoWboUOHYu7cuYiOjsa8efNgbm6OPn36aJ8/c+YMWrTgX0NEpHs+23sVWfdV8HexwtNdPKUuh0ivGBnJMKJDyYnFO2MTJa6mhuHmvffeg1wuR79+/fDNN9/gm2++gYnJ/6YrX7duHUJDQ+u9SCKiuriRlosfDt0CUHLpt9yIl34T1bfSq6b2XUpD1n2VpLXUaFzW0dER0dHRyMrKgqWlJeTysjN6bt26FZaWvKMuEemWpb9dQrFGYKC/E3q3cpC6HCK95O9ihdbOlrhyJxeR51LwTFfpRkhrNHLj5uaGsLAwHDp0qMKZiO3s7MqM5BARSe3Q9QxEXbgDuZEM/zfcX+pyiPSWTCbTnli887S0h6ZqFG42b94MMzMzzJw5Ew4ODnj66afxww8/4O7duw1VHxFRrWk0Au/tvgAAGNfNCy2ddOeuxUT6aOSD825O3spEdoF0h6ZqFG769++PTz75BFevXsWhQ4fQuXNnfPXVV3B1dUX//v3x6aef4vr16w1VKxFRjWw7lYjzSdmwUhpj9uBWUpdDpPc87cyxdkIXHJk/CNam0l09Xet7S7Vt2xbz5s3D4cOHER8fj+effx5//vkn2rVrh8DAQOzevbs+6yQiqpH8omJ8FHkJADBjYEvYWyolrojIMAwOcJY02AA1PKG4Ms7Oznj55Zfx8ssvIz8/H5GRkVAq+YOEiKSz5q8buJNdCE87M0wM9pG6HCJqRDUauVmwYAHy8/O1j+/du1eujbm5OZ588kkMHjy47tUREdVCSlYBVh+4AQCYO7QNTBXyKtYgIn1So3Dz/vvvIzc3V/vY29sbN27cqPeiiIhqSwiBd3aew32VGkHezTC8nYvUJRFRI6tRuBFCPPIxEZHUfj2TjKgLd6CQy/D+k4GQyThhH5GhqfUJxUREuiYjtxALd50HAEwf0BL+LtYSV0REUqjRCcUymQw5OTkwNTWFEAIymQy5ubnIzs4u087amj9QiKjxLfrlAu7mFcHfxQph/VtKXQ4RSaRG4UYIgdatW5d53KlTpzKPZTJZhbMXExE1pMjzKfjldBLkRjJ89FQHmBhzYJrIUNUo3Ozbt6+h6iAiqrWsfBX+veMcAOCVvs3RzsNG4oqISEo1Cjf9+vVrqDqIiGrt3d0XkJZTiOaOFnhtEGciJjJ0tRq3jYiIQGRkZLnlkZGR+O233+pcFBFRde2/nIqfTtyGTAZ89FR7zmlDRLULN3Pnzq3wvBohBObOnVvnooiIqiOnQIX/23YWAPBisC+CvO0kroiIdEGtws3Vq1cREBBQbrm/vz+uXbtW56KIiKrjg98uISmrAF525nhzSOuqVyAig1CrcGNjY1PhzMTXrl2DhYVFnYsiIqpKzPV0bDoSDwD4YEw7mJvUy63yiEgP1CrcjBw5ErNnz8b169e1y65du4Y33ngDI0eOrLfiiIgqkl9UjLk/lxyOer67F4JbOEhcERHpklqFm48++ggWFhbw9/eHr68vfH194e/vD3t7e3z88cf1XSMRURkfR15B/N18uNmYYu4wf6nLISIdU+vDUjExMdi9ezfCwsLwxhtvYN++ffjzzz9ha2tbo22tXLkSvr6+MDU1RVBQEKKjo6u13t9//w1jY2N07Nix5jtARE3WiVt3sT4mDgDwn9HtYGWqkLgiItI1NQo3R44c0V7qLZPJEBoaCicnJ3z88ccYM2YMXnnlFRQWFlZ7e+Hh4Zg9ezbmz5+PU6dOoU+fPhg2bBji4+MfuV5WVhYmTJiAQYMG1aR8ImriClRqvPXTGQgBPBXkgf5+TlKXREQ6qEbhZtGiRThz5oz28dmzZ/Hyyy8jJCQEc+fOxS+//IKlS5dWe3vLly/H5MmTMWXKFLRp0wYrVqyAp6cnVq1a9cj1pk6dinHjxqFnz541KZ+ImrjP9l7FjbQ8OFop8c5j5a/YJCICajhDcWxsLN59913t4x9//BHdunXDN998AwDw9PTEwoULsWjRoiq3VVRUhBMnTpSbFyc0NBQxMTGVrrd+/Xpcv34dGzduxHvvvVfl6xQWFpYZTSq9yadKpYJKpapyfSqv9H3j+6d/dLlvzyZmYc1fJVdpLhnRBuYK3axTF+lyv1LdGFLf1mQfaxRu7t27B2dnZ+3jAwcOYOjQodrHXbt2RUJCQrW2lZ6eDrVaXWZ7AODs7IyUlJQK17l69Srmzp2L6OhoGBtXr/SlS5di8eLF5Zbv2bMH5ubm1doGVSwqKkrqEqiB6FrfFmuAj8/KodbI0Nleg6K444iIk7qqpkfX+pXqjyH0bX5+frXb1ijcODs7Iy4uDp6enigqKsLJkyfLBIecnBwoFDU7uU8mk5V5XHpn8Yep1WqMGzcOixcvLnNn8qrMmzcPc+bM0T7Ozs6Gp6cnQkNDYW1tXaNaqYRKpUJUVBRCQkJq3N+k23S1b7/48zqS86+jmbkCK1/uBXsLE6lLalJ0tV+p7gypb0uPvFRHjcLN0KFDMXfuXHz44YfYsWMHzM3N0adPH+3zZ86cQYsWLaq1LQcHB8jl8nKjNKmpqeVGc4CS4HT8+HGcOnUKM2bMAABoNBoIIWBsbIw9e/Zg4MCB5dZTKpVQKpXllisUCr3/IDQ0vof6S5f69mJyNlYeeHA4alQgXGw5UWht6VK/Uv0yhL6tyf7VKNy89957GD16NPr16wdLS0t89913MDH5319Q69atQ2hoaLW2ZWJigqCgIERFReHJJ5/ULo+KisKoUaPKtbe2tsbZs2fLLFu5ciX+/PNP/PTTT/D19a3JrhBRE1Cs1uDtn86gWCMQGuCMx9u7Sl0SETUBNQo3jo6OiI6ORlZWFiwtLSGXl7377tatW2FpaVnt7c2ZMwfjx49Hly5d0LNnT6xZswbx8fGYNm0agJJDSomJifj+++9hZGSEwMDAMus7OTnB1NS03HIi0g/fRMfhbGIWrE2N8d4TgRUesiYielitbsZiY2NT4XI7u5rdkXfs2LHIyMjAkiVLkJycjMDAQERERMDb2xsAkJycXOWcN0Skn66l5uLTP64AABaMaAsna1OJKyKipkLyO82FhYUhLCyswuc2bNjwyHUXLVpUrcvOiahpUWsE3v7pNIqKNejX2hFjOrtLXRIRNSG1uv0CEVFDWht9AyfjM2GpNMZ/Rrfj4SgiqhGGGyLSKcdv3sWyyMsAgPmPtYG7rZnEFRFRU8NwQ0Q6IyO3EDM2n4JaIzCygxue7eopdUlE1AQx3BCRTlBrBGaHxyIluwAtHC2wlIejiKiWGG6ISCd8vvcqoq+mw0whx6oXgmChlPx6ByJqohhuiEhyf11Jw+d/XgUAvP9kIFo7W0lcERE1ZQw3RCSp5Kz7mB0eCyGA57p5YnRnD6lLIqImjuGGiCSjUmswY/Mp3M0rQoCrNRaOaCt1SUSkBxhuiEgyy36/hBO37sFKaYxVL3SGqUJe9UpERFVguCEiSUSeT8E30XEAgI+ebg9ve97tm4jqB8MNETW6+Ix8vLn1NABgcm9fDA3k3b6JqP4w3BBRoypQqfHqphPIKShGZy9bzB3mL3VJRKRnGG6IqFEt+fUCzidlw87CBF+O6wyFnD+GiKh+8acKETWaHacSsflIPGQyYMXYjnDjfaOIqAEw3BBRo7h6Jwfztp0FAMwc2Ap9WztKXBER6SuGGyJqcHmFxXh100ncV6nRu6UDXhvUSuqSiEiPMdwQUYMSQmD+9rO4lpoLZ2slVjzbEXIj3hCTiBoOww0RNajNR+OxIzYJciMZvhzXGQ6WSqlLIiI9x3BDRA3mXGIWFu+6AAB4e4gfuvrYSVwRERkChhsiahBZ91V4ddMJFKk1GNzGGa/0bS51SURkIBhuiKjeCSHw1tbTSLh7Hx7NzPDJ0x0gk/E8GyJqHAw3RFTv1kbHYc+FOzCRG2HV80GwMVdIXRIRGRCGGyKqV3sv3sHS3y4CAN4ZEYB2HjYSV0REhobhhojqTWxCJmZsPgWNAJ4O8sAL3b2kLomIDBDDDRHVi5vpeZi84Rjuq9To19oR/xndjufZEJEkGG6IqM4ycgsxaf1RZOQVIdDdGiuf5w0xiUg6/OlDRHVyv0iNyd8dx82MfHg0M8O6SV1hoTSWuiwiMmAMN0RUa8VqDWZuOYnYhEzYmivw3Uvd4GRlKnVZRGTgGG6IqFaEEFiw6zz+uJgKpbERvp3YBS0cLaUui4iI4YaIamfl/uvYfCQeMhnw2bOdEOTNWysQkW5guCGiGvv5xG18FHkZALBoRFsMDXSRuCIiov+RPNysXLkSvr6+MDU1RVBQEKKjoytte/DgQfTq1Qv29vYwMzODv78/Pv3000asloiir6bhXz+fAQBM7dscE4N9pC2IiOghkl7SEB4ejtmzZ2PlypXo1asXVq9ejWHDhuHChQvw8io/+ZeFhQVmzJiB9u3bw8LCAgcPHsTUqVNhYWGBV155RYI9IDIs55Oy8OrGkyjWCIzs4IZ/DfWXuiQionIkDTfLly/H5MmTMWXKFADAihUrEBkZiVWrVmHp0qXl2nfq1AmdOnXSPvbx8cG2bdsQHR1dabgpLCxEYWGh9nF2djYAQKVSQaVS1efuGIzS943vn/55VN8mZt7Hi+uPIbewGD18m+E/TwRArS6GWt3YVVJN8Turvwypb2uyj5KFm6KiIpw4cQJz584tszw0NBQxMTHV2sapU6cQExOD9957r9I2S5cuxeLFi8st37NnD8zNzWtWNJURFRUldQnUQB7u2zwV8Nl5OVLvy+BqJjDKIQ179/wuUXVUW/zO6i9D6Nv8/Pxqt5Us3KSnp0OtVsPZ2bnMcmdnZ6SkpDxyXQ8PD6SlpaG4uBiLFi3SjvxUZN68eZgzZ472cXZ2Njw9PREaGgpra+u67YSBUqlUiIqKQkhICBQK3u1Zn1TUt4UqNSZ9dwJ37mfC2VqJ8Fe6w9WGc9k0JfzO6i9D6tvSIy/VIfk0og/fe0YIUeX9aKKjo5Gbm4vDhw9j7ty5aNmyJZ577rkK2yqVSiiVynLLFQqF3n8QGhrfQ/1V2rcajcC//nsWx29lwkppjO9e6gYvByupy6Na4ndWfxlC39Zk/yQLNw4ODpDL5eVGaVJTU8uN5jzM19cXANCuXTvcuXMHixYtqjTcEFHtvR9xEbvPJsNEboTVE4Lg78LRTiLSfZJdCm5iYoKgoKByxwmjoqIQHBxc7e0IIcqcMExE9WNt9A18ezAOAPDR0+0R3MJB4oqIiKpH0sNSc+bMwfjx49GlSxf07NkTa9asQXx8PKZNmwag5HyZxMREfP/99wCAr776Cl5eXvD3L7n89ODBg/j4448xc+ZMyfaBSB9FnE3Be7svAgDmDfPHqI7uEldERFR9koabsWPHIiMjA0uWLEFycjICAwMREREBb29vAEBycjLi4+O17TUaDebNm4e4uDgYGxujRYsW+OCDDzB16lSpdoFI71zLBr7++SwAYFKwD17p21ziioiIakbyE4rDwsIQFhZW4XMbNmwo83jmzJkcpSFqQDfS8vDtJTlUaoEhbZ3xzuMBVZ7gT0SkayS//QIR6YaM3EJM+eEk8tUydPS0wWfPdoLciMGGiJoehhsiQoFKjZe/P46Ee/dhrxT4+vlOMFXIpS6LiKhWGG6IDJxGI/Dm1tM4GZ8Ja1NjTG2jhr2FidRlERHVGsMNkYH7JOoyfj2TDIVchpXjOsLZTOqKiIjqhuGGyID991gCvtp3HQCwdHR7dPe1k7giIqK6Y7ghMlB/X0vH/20vueR71sCWeCrIQ+KKiIjqB8MNkQG6eicH0zaeQLFGYFRHN7we0lrqkoiI6g3DDZGBScspxKT1x5BTUIyuPs2w7Kn2nMuGiPQKww2RAblfpMaU748jMfM+fB0ssGZ8FyiNeck3EekXhhsiA6HRCLweHovTCZmwNVdg3aSuaMZLvolIDzHcEBmID3+/hN/Pp8BEboQ147vA18FC6pKIiBoEww2RAdh05BZW/3UDAPDR0+3RjZd8E5EeY7gh0nP7L6diwc7zAIA3QlpjVEd3iSsiImpYDDdEeuxicjZmbD4FtUZgTGcPzBjYUuqSiIgaHMMNkZ66k12AlzYcQ25hMXo0t8PS0e14yTcRGQSGGyI9lJlfhBfXH0NyVgGaO1pg9QtdYGLMrzsRGQb+tCPSM3fzijDumyO4kJwNB0sTbJjUDTbmCqnLIiJqNMZSF0BE9Sc9txAvrD2CSyk5cLBUYsvL3eFlby51WUREjYrhhkhPpOUUYtw3h3E1NRdOVkpsfrkHWjpZSl0WEVGjY7gh0gOp2QV47pvDuJ6WBxdrU2x5pQcn6SMig8VwQ9TEpWQVYNw3h3EjPQ9uNiXBxtuewYaIDBfDDVETlpR5H899cxi3MvLhbmuGH1/pAU87nmNDRIaN4Yaoibp9Lx/PfXMYCXfvw9PODJunMNgQEQEMN0RNUsLdfDy75jASM+/D294cm1/uAXdbM6nLIiLSCQw3RE3MrYw8jPvmCBIz78PXwQKbX+4OVxsGGyKiUgw3RE1IXHoenltzGCnZJTMPb3m5B5ytTaUui4hIpzDcEDUR19Ny8dyaw0jNKURLJ0tsfrk7nKwYbIiIHsZwQ9QEXL2Tg+e+OYL03EL4OVth08vd4WCplLosIiKdxHBDpOMup+Tg+bWHkZ5bBH8XK2ya0h32DDZERJViuCHSYecSszBh3VHczStCgKs1Nk3pjmYWJlKXRUSk0yS/K/jKlSvh6+sLU1NTBAUFITo6utK227ZtQ0hICBwdHWFtbY2ePXsiMjKyEaslajwRZ5Px9NeHcDevCO3cbbD5ZQYbIqLqkDTchIeHY/bs2Zg/fz5OnTqFPn36YNiwYYiPj6+w/V9//YWQkBBERETgxIkTGDBgAEaMGIFTp041cuVEDUejEVjxxxWEbTqJ+yo1+rRywMYp3WFrzmBDRFQdkh6WWr58OSZPnowpU6YAAFasWIHIyEisWrUKS5cuLdd+xYoVZR7/5z//wc6dO/HLL7+gU6dOjVEyUYPKLyrGm1tPI+JsCgDgpV6++L/h/jCWSz7ISkTUZEgWboqKinDixAnMnTu3zPLQ0FDExMRUaxsajQY5OTmws7OrtE1hYSEKCwu1j7OzswEAKpUKKpWqFpVT6fvG969+JWcVYNqmU7iQnAOFXIbFI9rg6SAPCI0aKo26UWpg3+on9qv+MqS+rck+ShZu0tPToVar4ezsXGa5s7MzUlJSqrWNTz75BHl5eXjmmWcqbbN06VIsXry43PI9e/bA3Jz34amLqKgoqUvQG3E5wLeX5chRyWBhLDDZrxgWd84gIuKMJPWwb/UT+1V/GULf5ufnV7ut5FdLyWSyMo+FEOWWVWTLli1YtGgRdu7cCScnp0rbzZs3D3PmzNE+zs7OhqenJ0JDQ2FtbV37wg2YSqVCVFQUQkJCoFAopC6nydt2KhFfHb0AlVrAz9kSXz/fCR7NpLmdAvtWP7Ff9Zch9W3pkZfqkCzcODg4QC6XlxulSU1NLTea87Dw8HBMnjwZW7duxeDBgx/ZVqlUQqksPyeIQqHQ+w9CQ+N7WDdqjcCy3y9h9V83AAAhAc5YMbYjLJSS/83BvtVT7Ff9ZQh9W5P9k+wsRRMTEwQFBZUbSouKikJwcHCl623ZsgWTJk3C5s2b8dhjjzV0mUQNIqdAhZe/P64NNjMGtMTqF4J0ItgQETV1kv4knTNnDsaPH48uXbqgZ8+eWLNmDeLj4zFt2jQAJYeUEhMT8f333wMoCTYTJkzAZ599hh49emhHfczMzGBjYyPZfhDVxK2MPEz57jiupuZCaWyEZU+1x6iO7lKXRUSkNyQNN2PHjkVGRgaWLFmC5ORkBAYGIiIiAt7e3gCA5OTkMnPerF69GsXFxZg+fTqmT5+uXT5x4kRs2LChscsnqrGY6+kI23QSmfkqOFsrsWZ8F3TwtJW6LCIivSL5GHhYWBjCwsIqfO7hwLJ///6GL4iogfxw+BYW7zqPYo1AB09brBkfBGdr3tWbiKi+SR5uiPSdSq3Bkl8u4IfDtwAAT3R0wwdj2sNUIZe4MiIi/cRwQ9SArqXm4o3/xuL07SzIZMBbQ/zwar8W1ZrugIiIaofhhqgBaDQC6/6Ow0eRl1FYrIGVqTGWP9MRIQGPnuaAiIjqjuGGqJ7FZ+TjzZ9O42jcXQBA39aO+HBMO7jaSDMxHxGRoWG4IaonQghsPhqP93dfRH6RGuYmcvz7sQA8182Th6GIiBoRww1RPUjOuo+3fzqD6KvpAIBuvnb4+KkO8LLn/cuIiBobww1RHQghsP1UIhbuOo+cgmIojY3w9lB/vBjsAyMjjtYQEUmB4YaoltJyCjF/+1nsuXAHANDB0xafPN0BLZ0sJa6MiMiwMdwQ1ULE2WT8e8c53M0rgkIuw+zBrTG1b3MYyyW7XRsRET3AcENUA5n5RVi46zx2xiYBAPxdrLD8mY4IcLOWuDIiIirFcENUTfsupeJfP59Bak4hjGRAWP+WmDWoFUyMOVpDRKRLGG6IqpBToML7uy/ix2MJAIDmjhb45OkO6OTVTOLKiIioIgw3RJUQQmBHbCL+E3EJaTmFkMmAl3r54q0hfrwvFBGRDmO4IarA+aQsLNx5Hsdv3QMA+Nib44Mx7dGjub3ElRERUVUYboj+ITO/CJ/suYJNR25BIwAzhRwzBrbElD6+UBpztIaIqClguCECoNYIhB9LwEeRl3AvXwUAeLy9K/5veBu42fKeUERETQnDDRm8E7fuYdGu8zibmAUAaO1siUUj2yK4hYPElRERUW0w3JDBSsspxIe/X8JPJ24DAKyUxng9pDXG9/SGgpPxERE1WQw3ZHBUag2+P3QLK6KuIKewGADwdJAH3h7qD0crpcTVERFRXTHckEGJuZ6ORbvO48qdXABAO3cbLB7VFp05Zw0Rkd5guCGDkJR5H+9HXMTuM8kAgGbmCrw1xB9ju3pCzrt3ExHpFYYb0mupOQX4ev8NbDpyC4XFGhjJgOe7e+ON0NawNTeRujwiImoADDekl9JyCvH1gevYeLgk1ABAV59mWDiiLQLdbSSujoiIGhLDDemV9NxCrD5wHT8cvoUCVUmo6ehpi9dDWqNvKwfIZDwERUSk7xhuSC9k5BZizV838P2hW7ivUgMAOnjYYHZIa/Rv7chQQ0RkQBhuqEm7m1f0INTcRH5RSahp72GD1we3Rn8/hhoiIkPEcENN0r28InwTfQPfxdxE3oNQ087dBrMHt8JAfyeGGiIiA8ZwQ01KZn4R1kbHYUPMTeQ+mICvrZs1Xh/cGoPaMNQQERHDDTURd/OKsOHvOKz/+6Z2VuEAV2vMHtwKIQHODDVERKTFcEM67XxSFjb8fRM7Tyeh6MEl3f4uVpg9uDWGtGWoISKi8iS/O+DKlSvh6+sLU1NTBAUFITo6utK2ycnJGDduHPz8/GBkZITZs2c3XqHUaIrVGvx2NhnPrD6Exz4/iK0nbqOoWIP2Hjb4+oXOiJjVB0MDXRhsiIioQpKO3ISHh2P27NlYuXIlevXqhdWrV2PYsGG4cOECvLy8yrUvLCyEo6Mj5s+fj08//VSCiqkhZeYX4cdjCfjh0C0kZt4HABgbyTCsnSsmBfugs5ctAw0REVVJ0nCzfPlyTJ48GVOmTAEArFixApGRkVi1ahWWLl1arr2Pjw8+++wzAMC6desatVZqOJdSsvFdzE1sP5WonXjPzsIE47p54YUe3nCxMZW4QiIiakokCzdFRUU4ceIE5s6dW2Z5aGgoYmJi6u11CgsLUVhYqH2cnZ0NAFCpVFCpVPX2Ooak9H2ry/un1gjsu5yG7w/H49CNu9rlbVysMLGnFx5v5wKlQl7n16GaqY++Jd3DftVfhtS3NdlHycJNeno61Go1nJ2dyyx3dnZGSkpKvb3O0qVLsXjx4nLL9+zZA3Nz83p7HUMUFRVV43Xyi4HDqTJEpxjhbmHJISYZBDrYCfR11aC51T3IUu5hb8rp+i6XaqA2fUu6j/2qvwyhb/Pz86vdVvKrpR4+h0IIUa/nVcybNw9z5szRPs7OzoanpydCQ0NhbW1db69jSFQqFaKiohASEgKFQlFle41G4ER8JrbHJuHXM8m4/+DQk62ZAs90ccfz3TzhZmvW0GVTNdS0b6lpYL/qL0Pq29IjL9UhWbhxcHCAXC4vN0qTmppabjSnLpRKJZRKZbnlCoVC7z8IDa2q9/BWRh5+PpmI7aduI+Hufe1yP2crvNjLB6M6usPMRN4YpVIN8fuhn9iv+ssQ+rYm+ydZuDExMUFQUBCioqLw5JNPapdHRUVh1KhRUpVFdZR1X4XdZ5Kx7eRtHL91T7vcwkSO4e1c8VSQB7r52vGqJyIiajCSHpaaM2cOxo8fjy5duqBnz55Ys2YN4uPjMW3aNAAlh5QSExPx/fffa9eJjY0FAOTm5iItLQ2xsbEwMTFBQECAFLtAKJmX5q+rafj5ZCKiLtzRTrZnJAN6tXTAU0EeCA1w4SgNERE1CknDzdixY5GRkYElS5YgOTkZgYGBiIiIgLe3N4CSSfvi4+PLrNOpUyft/584cQKbN2+Gt7c3bt682ZilE4ALydnYdeYOdsYmIj23SLu8tbMlxnT2wKiO7ryMm4iIGp3kJxSHhYUhLCyswuc2bNhQbpkQooErokdJySrAjlMJ+P60HEmHDmuX21uYYGRHN4zp7IG2btY87ERERJKRPNyQ7ruWmos9F1IQef4OTidkPlgqg0IuQ0iAM0Z38kA/P0co5JLfzYOIiIjhhsrTaARO387Engt3EHk+BTfS8so839nLFi3kGXj72cFwtOFcQUREpFsYbggAUFSswZG4DESeT0HUhTu4k/2/WZ0VchmCWzggtK0zQto4o5mZHBEREbA11+/LDomIqGliuDFgeYXFOHAlDXvOp2DvpVTkFBRrn7MwkaO/vxOGtHVBfz9HWJv+L8gYwjTfRETUdDHcGBAhBG5m5OPg1TTsv5yG6Gvp2su2AcDB0gQhAc4IDXBBcEt7KI156TYRETU9DDd67l5eEf6+no6DV9MRfTUdiZn3yzzvbW+OIW1dEBrgjE5ezSA34lVORETUtDHc6JnCYjVO3LqH6KslgeZcUhb+efW8Qi5DZ69m6NPKASEBLmjtbMnLtomISK8w3DRxQghcvpOjHZk5GncX91XqMm1aO1uid0tH9GnlgG6+drBQstuJiEh/8bdcE6PWCFy5k4PjN+/i+K17iLmegbScwjJtHCyV6NPKAb1bOqB3Kwc4W3OWYCIiMhwMNzouv6gYsfGZOH7rHo7fuodTt+4hp7C4TBtThRG6+9qXBJpWDvBztuKhJiIiMlgMNzrmTnYBjt+8h+O37uLErXs4n5QNtabsLScsTOTo5NUMQd7N0L25HYK8m/HKJiIiogcYbiRUoFLjUkoOziZm4eStkkCTcPd+uXauNqYI8m6GLt7N0MXHDv4uVjDmrQ6IiIgqxHDTSPKLinExORtnb2fhXFI2ziVm4WpqbrlRGZkM8HexfhBkSsKMu62ZRFUTERE1PQw3DSCnQIXzDwLM+aRsnE3Mwo20XGgquKG5nYUJ2rpZo5OnLbr42KGTly2sTHlbAyIiotpiuKknt+/l44PfLuF8Ujbi0vMqbONkpUSgu03JPzdrBLrbwNXGlCf/EhER1SOGm3pippDj1zPJ2sduNqb/CzLu1gh0s4ETL8kmIiJqcAw39cTeUokFjweghZMlAt2sYW+plLokIiIig8RwU49e6u0rdQlEREQGj9cTExERkV5huCEiIiK9wnBDREREeoXhhoiIiPQKww0RERHpFYYbIiIi0isMN0RERKRXGG6IiIhIrzDcEBERkV5huCEiIiK9wnBDREREeoXhhoiIiPQKww0RERHpFYO7K7gQAgCQnZ0tcSVNl0qlQn5+PrKzs6FQKKQuh+oR+1Y/sV/1lyH1benv7dLf449icOEmJycHAODp6SlxJURERFRTOTk5sLGxeWQbmahOBNIjGo0GSUlJsLKygkwmq/P2unbtimPHjjXKutVpX1WbRz1f2XMPL8/OzoanpycSEhJgbW1dzeobVl36oSG2WZN1daVfAd3r26bcr9Vtz++sbmyzvr+zVbXjd7bm2xRCICcnB25ubjAyevRZNQY3cmNkZAQPD496255cLq/1B6qm61anfVVtHvV8Zc9Vttza2lonvkxA3fqhIbZZk3V1rV8B3enbptyv1W3P76xubLO+v7NVteN3tnbbrGrEphRPKK6j6dOnN9q61WlfVZtHPV/Zc3XZx8bSEDU2Vt+yXyvXlPu1uu3Zt7qxzfr+zlbVjv3asNs0uMNSVHfZ2dmwsbFBVlaWTvylQPWHfauf2K/6i31bMY7cUI0plUosXLgQSqVS6lKonrFv9RP7VX+xbyvGkRsiIiLSKxy5ISIiIr3CcENERER6heGGiIiI9ArDDREREekVhhsiIiLSKww31KASEhLQv39/BAQEoH379ti6davUJVE9efLJJ9GsWTM89dRTUpdCdfTrr7/Cz88PrVq1wtq1a6Uuh+qJIX9HeSk4Najk5GTcuXMHHTt2RGpqKjp37ozLly/DwsJC6tKojvbt24fc3Fx89913+Omnn6Quh2qpuLgYAQEB2LdvH6ytrdG5c2ccOXIEdnZ2UpdGdWTI31GO3FCDcnV1RceOHQEATk5OsLOzw927d6UtiurFgAEDYGVlJXUZVEdHjx5F27Zt4e7uDisrKwwfPhyRkZFSl0X1wJC/oww3Bu6vv/7CiBEj4ObmBplMhh07dpRrs3LlSvj6+sLU1BRBQUGIjo6u1WsdP34cGo0Gnp6edayaqtKY/UrSqmtfJyUlwd3dXfvYw8MDiYmJjVE6PQK/w3XDcGPg8vLy0KFDB3z55ZcVPh8eHo7Zs2dj/vz5OHXqFPr06YNhw4YhPj5e2yYoKAiBgYHl/iUlJWnbZGRkYMKECVizZk2D7xM1Xr+S9Ora1xWdmSCTyRq0ZqpafXyHDZogegCA2L59e5ll3bp1E9OmTSuzzN/fX8ydO7fa2y0oKBB9+vQR33//fX2USTXUUP0qhBD79u0TY8aMqWuJVE9q09d///23eOKJJ7TPzZo1S2zatKnBa6Xqq8t32FC/oxy5oUoVFRXhxIkTCA0NLbM8NDQUMTEx1dqGEAKTJk3CwIEDMX78+IYok2qoPvqVmobq9HW3bt1w7tw5JCYmIicnBxERERgyZIgU5VI18TtcNWOpCyDdlZ6eDrVaDWdn5zLLnZ2dkZKSUq1t/P333wgPD0f79u21x4x/+OEHtGvXrr7LpWqqj34FgCFDhuDkyZPIy8uDh4cHtm/fjq5du9Z3uVQH1elrY2NjfPLJJxgwYAA0Gg3efvtt2NvbS1EuVVN1v8OG/B1luKEqPXz8XQhR7WPyvXv3hkajaYiyqI7q0q8AeEVNE1JVX48cORIjR45s7LKojqrqV0P+jvKwFFXKwcEBcrm83F/zqamp5f5ioKaD/Wo42Nf6if1aNYYbqpSJiQmCgoIQFRVVZnlUVBSCg4Mlqorqiv1qONjX+on9WjUeljJwubm5uHbtmvZxXFwcYmNjYWdnBy8vL8yZMwfjx49Hly5d0LNnT6xZswbx8fGYNm2ahFVTVdivhoN9rZ/Yr3Uk6bVaJLl9+/YJAOX+TZw4Udvmq6++Et7e3sLExER07txZHDhwQLqCqVrYr4aDfa2f2K91w3tLERERkV7hOTdERESkVxhuiIiISK8w3BAREZFeYbghIiIivcJwQ0RERHqF4YaIiIj0CsMNERER6RWGGyIiItIrDDdERESkVxhuiIiISK8w3BBRkzNp0iQ88cQTZZb99NNPMDU1xbJly6Qpioh0Bu8KTkRN3tq1azF9+nR89dVXmDJlitTlEJHEOHJDRE3asmXLMGPGDGzevFkbbDZu3IguXbrAysoKLi4uGDduHFJTUyWulIgaC8MNETVZc+fOxbvvvotff/0VY8aM0S4vKirCu+++i9OnT2PHjh2Ii4vDpEmTpCuUiBqVTAghpC6CiKgmJk2ahC1btqCoqAh79+7FwIEDH9n+2LFj6NatG3JycmBpadlIVRKRVDhyQ0RNUvv27eHj44MFCxYgJyenzHOnTp3CqFGj4O3tDSsrK/Tv3x8AEB8fL0GlRNTYGG6IqElyd3fHgQMHkJycjKFDh2oDTl5eHkJDQ2FpaYmNGzfi2LFj2L59O4CSw1VEpP8YboioyfLy8sKBAweQmpqK0NBQZGdn49KlS0hPT8cHH3yAPn36wN/fnycTExkYhhsiatI8PDywf/9+ZGRkIDQ0FA4ODjAxMcEXX3yBGzduYNeuXXj33XelLpOIGhHDDRE1eaWHqDIzM/H0009jw4YN2Lp1KwICAvDBBx/g448/lrpEImpEvFqKiIiI9ApHboiIiEivMNwQERGRXmG4ISIiIr3CcENERER6heGGiIiI9ArDDREREekVhhsiIiLSKww3REREpFcYboiIiEivMNwQERGRXmG4ISIiIr3y/7P5oQAtMQQWAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(Ka_values, y_values, label='Tp=1820.61K') #compare\n",
    "plt.legend(loc='upper left')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Ka')\n",
    "plt.ylabel('ScF/Sl0')\n",
    "plt.title('Strain rate vs. Consumption Speed')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "id": "be462b33-b11e-4bab-b818-aa1d2fdda664",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n",
      "0.10061756340270997\n",
      "0.2005774956720689\n",
      "0.30053742794142785\n",
      "0.40049736021078675\n",
      "0.5004572924801457\n",
      "0.6004172247495047\n",
      "0.7003771570188635\n",
      "0.8003370892882224\n",
      "0.9009546526909324\n",
      "1.0000004776849334\n"
     ]
    }
   ],
   "source": [
    "Tp = [300, 453, 605, 757, 909, 1061, 1213, 1365, 1517, 1670, 1820.61]\n",
    "for temp in Tp:\n",
    "    beta = calculate_heat_loss_coefficient(temp, Tad, T0)\n",
    "    print(beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "0fdf9444-09e4-4d0c-a639-3dc4a8cd59ef",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.09321532231403255, 0.1658576370182114, 0.23277638775566944, 0.29380282889055714, 0.6776127990694594, 0.8589549626713995, 0.7859569518369143, 0.7064172328856381, 0.6229827244759614]\n"
     ]
    }
   ],
   "source": [
    "y_values = []\n",
    "for i in ScF_values:\n",
    "    temp = i / flame_speed\n",
    "    y_values.append(temp)\n",
    "print(y_values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "1b805b9d-b61a-4773-a34c-106bdf982a1e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(mdot_values, y_values, marker='o', label='Tp=300K')\n",
    "plt.legend(loc='upper left')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Mass Flow Rate (mdot_reactants)')\n",
    "plt.ylabel('ScF/Sl0')\n",
    "plt.title('Mass Flow Rate vs. Consumption Speed')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(Ka_values, y_values, marker='o', label='Tp=300K')\n",
    "plt.legend(loc='upper left')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Ka')\n",
    "plt.ylabel('ScF/Sl0')\n",
    "plt.title('Strain rate vs. Consumption Speed')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "40566b9c-39dd-4ff5-aa13-172220f84de1",
   "metadata": {},
   "outputs": [],
   "source": [
    "Tp_values = [300, 453, 605, 757, 909, 1061, 1213, 1365, 1517, 1670, 1820.61]\n",
    "mdot_values = [0.025, 0.05, 0.075, 0.1, 0.3, 5, 20, 40, 60]\n",
    "Ka_values = []\n",
    "ScF_values = []\n",
    "\n",
    "# Loop through Tp values\n",
    "for Tp in Tp_values:\n",
    "    ScF_row = []\n",
    "    for mdot in mdot_values:\n",
    "        # Initialize gas object in each iteration to avoid carrying over previous states\n",
    "        gas = ct.Solution('gri30.yaml')\n",
    "        gas.TP = T0, p0\n",
    "        gas.set_equivalence_ratio(phi, fuel, oxidizer)\n",
    "\n",
    "        flame_cf = ct.CounterflowPremixedFlame(gas=gas, width=width)\n",
    "        flame_cf.transport_model = 'multicomponent'\n",
    "        flame_cf.energy_enabled = True\n",
    "        flame_cf.soret_enabled = True\n",
    "        #flame_cf.set_refine_criteria(ratio=3, slope=0.1, curve=0.2, prune=0.02)\n",
    "        flame_cf.set_refine_criteria(ratio=2, slope=0.05, curve=0.1, prune=0.01)\n",
    "        flame_cf.reactants.mdot = mdot\n",
    "        flame_cf.products.mdot = mdot\n",
    "        flame_cf.products.T = Tp  # no heat loss\n",
    "        flame_cf.products.X = Xflame  # (viken)\n",
    "        flame_cf.set_initial_guess(equilibrate=False)\n",
    "        \n",
    "        flame_cf.solve(loglevel, auto=True)\n",
    "\n",
    "        # Calculate the maximum gradient |du/dx|\n",
    "        grad_u = np.gradient(flame_cf.velocity, flame_cf.grid)\n",
    "        max_grad_idx = np.argmax(np.abs(grad_u))  # find max |du/dx| index\n",
    "        max_grad_value = np.abs(grad_u[max_grad_idx])  # Ensure positive value for Ka calculation\n",
    "\n",
    "        # Calculate strain rate (Ka)\n",
    "        Ka = (thermal_diffusivity / flame_speed) / flame_speed * max_grad_value\n",
    "        Ka_values.append(Ka)\n",
    "\n",
    "        # Calculate ScF\n",
    "        ScF = calculate_consumption_speed(flame_cf, gas, ['CH4', 'H2'])\n",
    "        ScF_row.append(ScF)\n",
    "    ScF_values.append(ScF_row)\n",
    "#print(ScF_values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "46337841-c716-4037-bed8-c0a8b6b3982c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7O5tDhw7RqVMnxo8fb/TQf+GFFzhw4ADZ2dls3LgRURR59NFHq33LvBNKb+iJiYnltiUkJBgZT7179wb0Xp5t27bRt29fQ/u///7Lnj17KC4uNtkAUqlUtGvXjvbt2zN8+HD+/fdfPDw8GD9+PHl5eYB+8vk///zD+++/z4cffkjv3r1p3749YWFhVRotZSk9hp9++qmcd6z04+HhUWUfL7zwAkVFRaxatYrMzEz++usvnnvuOeRyuUHGxsaGKVOmcPHiRZKSkpg7dy6HDh1iyJAhJulZllLD6s8//6xW1snJCZlMVulvCFRpBFdGdedqqTFTXFxstF9NvZY1ISkpqcK22w0TU3Fxcan1781UlEolkyZNAvQTsctS2XHCrWvW1dWVsLCwSs/p0on7rq6uCILAvn37KpQrPcdK+61qbIl7j2QASZgFHx8f3nvvPYYMGcLzzz9fqZwgCCgUCqOHYWFhIUuXLq10H7lcTocOHZg9ezZAhUntbGxsGDhwIB9//DElJSWcO3fuLo6mYnr16gXoJwmX5ejRo1y4cMFg9IDeSxQSEsLatWs5fvy4wQDq27cvqampzJgxA3t7e9q3b39Huri4uDBt2jSSk5P56aefAP13K4qi4U27lPnz55ebeFrZ23jnzp1xdHTk/Pnz5bxjpR8LC4sqdWvWrBkdOnRg0aJFrFixguLi4iqNYg8PD8aOHcszzzzDpUuXjFb5mcJjjz1GWFgYU6dOLfdwLGXr1q0UFBRgY2NDhw4dWLdundGx63Q6li1bhq+vL40bN67R+GWp7FwtzbV0+vRpI/m//vrrjseqjtK8UaUcOHCAuLg4o5xdlpaWJntkevfuzY4dO8qtgPvtt9+wtrautWXzFRlZgCGEW+pxKuXcuXOcOnXKqG3FihXY2dnRpk0bAB599FGioqJwcXGp8Jwu/X0effRRRFHkxo0bFcqFhYUB+hQBKpWq0u9YwjxIeYAkzEbpMt2qGDx4MDNmzGDUqFG88sorpKen891335V7aP/888/s2LGDwYMH06BBA4qKigwrzUq9Ji+//DJWVlZ07twZLy8vkpKSmDp1Kg4ODndsWFRFkyZNeOWVV/jpp5+QyWQMHDiQ2NhYPv30U/z8/JgwYYKRfO/evfnpp58MOgIEBgYSGBhIREQEQ4cOrXCpr6k899xzzJgxg++++4433ngDe3t7unXrxrfffourqysBAQHs3r2bBQsW4OjoaLRv6XLxX3/9FTs7O1QqFYGBgbi4uPDTTz/x/PPPk5GRwfDhw3F3dyc1NZVTp06RmprK3Llzq9Vt3LhxvPrqqyQkJBAeHk6TJk2Mtnfo0IFHH32UFi1a4OTkxIULF1i6dCmdOnUyLFf/7bffGDduHAsXLuS5556rdCy5XM769evp168fnTp14rXXXqNnz57Y2NgQFxfHH3/8wd9//01mZiYAU6dOpW/fvvTs2ZN3330XCwsL5syZw9mzZ1m5cmWNs3+bcq56enrSp08fpk6dipOTE/7+/vz777+sW7euRmPVhGPHjvHSSy/x1FNPce3aNT7++GN8fHx4/fXXDTJhYWGsW7eOuXPn0rZtW2QyWaUe2UmTJvHPP//Qs2dPPvvsM5ydnVm+fDkbN27km2++qbUkk/3798fX15chQ4bQtGlTdDodkZGRfP/999ja2vL2228byXt7ezN06FAmT56Ml5cXy5YtY9u2bUyfPt1wLo0fP561a9fSrVs3JkyYQIsWLdDpdMTHxxMREcH//d//0aFDBzp37swrr7zCCy+8wLFjx+jWrRs2NjYkJiayb98+wsLCeO2113BycuLdd9/lyy+/NPqOJ0+eLIXAzIkZJ2BLPESUXQVWFRWtAlu4cKHYpEkT0dLSUgwKChKnTp0qLliwQATEmJgYURT1qzGeeOIJ0d/fX7S0tBRdXFzE7t27i3/99ZehnyVLlog9e/YUPTw8RAsLC9Hb21scMWKEePr06Wr1B8Q33nijSpnbV4GJon411PTp08XGjRuLSqVSdHV1FUePHi1eu3at3P4bNmwQAbFv375G7S+//LIIiD/++GO1eorirVVgFbFx40YREKdMmSKKoihev35dHDZsmOjk5CTa2dmJAwYMEM+ePSv6+/uLzz//vNG+M2fOFAMDA0W5XF5uJdLu3bvFwYMHi87OzqJSqRR9fHzEwYMHi2vWrDFJ5+zsbNHKyqrcyrpSPvzwQ7Fdu3aik5OT4TyYMGGCmJaWZpApPcfK6lUVWVlZ4hdffCG2adNGtLW1FZVKpdigQQNx9OjR4v79+41k9+7dK/bq1Uu0sbERraysxI4dO4p///23kUxl5/jtK7pMOVdFURQTExPF4cOHi87OzqKDg4M4evRo8dixYxWuArOxsSl3fJWdB/7+/uLgwYPL6R0RESGOGTNGdHR0FK2srMRBgwaJV65cMdo3IyNDHD58uOjo6CgKgmB0vnPbKjBRFMUzZ86IQ4YMER0cHEQLCwuxZcuW5X6f0u/n9nOlohVvFbF69Wpx1KhRYqNGjYx+xzFjxojnz5+v8Nj/+OMPMTQ0VLSwsBADAgLEGTNmlOs3Ly9P/OSTT8QmTZqIFhYWooODgxgWFiZOmDBBTEpKMpJduHCh2KFDB8P5ERwcLD733HPisWPHDDI6nU6cOnWq6OfnJ1pYWIgtWrQQ//77b7F79+7SKjAzIYhiNYlMJCQkJCQeWBYvXswLL7zA0aNHK/XmPCgEBATQvHlz/vnnH3OrIlEPkOYASUhISEhISDx0SAaQhISEhISExEOHFAKTkJCQkJCQeOiQPEASEhISEhISDx2SASQhISEhISHx0CHlAaoAnU5HQkICdnZ2Nc7xISEhISEhIWEeRFEkNzcXb29vZLKqfTySAVQBCQkJ5Qr4SUhISEhISNwfXLt2DV9f3yplJAOoAuzs7AD9F2hvb29mbSTKolariYiIoF+/fiiVSnOrI1FPkM4LiduRzomHk5ycHPz8/AzP8aqQDKAKKA172dvbSwZQPUOtVmNtbY29vb10U5MwIJ0XErcjnRMPN6ZMX5EmQUtISEhISEg8dEgGkISEhISEhMRDh2QASUhISEhISDx0SHOA7gKtVotarTa3Gg8VarUahUJBUVERWq3W3OrcEUqlErlcbm41JCQkJB5qJAPoDhBFkaSkJLKyssytykOHKIp4enpy7dq1+zpHk6OjI56envf1MUhISEjcz0gG0B1Qavy4u7tjbW0tPcTuITqdjry8PGxtbatNclUfEUWRgoICUlJSAPDy8jKzRhISEhIPJ5IBVEO0Wq3B+HFxcTG3Og8dOp2OkpISVCrVfWkAAVhZWQGQkpKCu7u7FA6TkJCQMAP35xPEjJTO+bG2tjazJhL3M6XnjzSHTEJCQsI8SAbQHSKFvSTuBun8kZCQkDAvUghMQkJCQqJGaHUiR2IySMktwt1OxSOBzshlklEvcX8hGUASEhISEiaz5WwiU/4+T2J2kaHNy0HFpCEhDGguTeqXuH+QQmBmRKsTORiVzobIGxyMSkerE82tkoSEhESlbDmbyGvLThgZPwBJ2UW8tuwEW84mmkkzCYmaIxlAZmLL2US6TN/BM/MO8faqSJ6Zd4gu03fU2Q1EEIQqP2PHjq2Tcfft20fnzp1xcXHBysqKpk2b8sMPP5STW7t2LSEhIVhaWhISEsL69evLycyZM4fg4GA8PT1p3749e/fuNdreo0cPxo8fb9Q2a9YsLC0tWbFiRa0el4TEw4ZWJzLl7/NU9JpW2jbl7/PSi5zEfYNkAJkBc7xFJSYmGj4zZ87E3t7eqG3WrFm1PiaAjY0Nb775Jnv27OHChQt88sknfPLJJ/z6668GmYMHDzJy5EjGjBnDqVOnGDNmDCNGjODw4cMGmdWrVzN+/HgmTpzI7t276dKlCwMHDiQ+Pr7SsSdNmsTEiRNZv349o0aNqpPjk5B4WDgSk1HunlUWEUjMLuJITMa9U0pC4i6QDKBaQBRFCko0Jn1yi9RM+utclW9Rk/86T26R2qT+RNG0ty1PT0/Dx8HBAUEQyrXFxsYiCAKrVq0iPDwclUpFaGgou3btuuPvpnXr1jzzzDOEhoYSEBDA6NGj6d+/v5H3ZubMmfTt25eJEyfStGlTJk6cSO/evZk5c6ZBZsaMGbz44ou89NJLNGnShB9++AE/Pz/mzp1b/nsURf773/8ya9YsIiIiGDRo0B3rLyEhoScqNc8kuTm7rrIh8gY3sgpNvj9JSJgDaRJ0LVCo1hLy2dZa6UsEknKKCJscYZL8+c/7Y21Ruz/je++9x8yZMwkJCWHGjBkMHTqUmJgYQ+JHW1vbKvfv2rUrmzdvrnDbyZMnOXDgAF9++aWh7eDBg0yYMMFIrn///gYDqKSkhOPHj/Phhx8ayfTr148DBw4YtWk0GsaMGcP27dvZvXs3LVu2NOmYJSQkKuZqSi4L9sWw5th1k+T3Xklj75U0ADztVbQNcKKdvxNt/Z1o5mWPUi69d0vUDyQDSKIcb775JsOGDQNg7ty5bNmyhQULFvD+++8DEBkZWeX+pZmOy+Lr60tqaioajYbJkyfz0ksvGbYlJSXh4eFhJO/h4UFSUhIAaWlpaLXaKmVKmTdvHgCnTp2iadOmJhythITE7YiifoHGvL3R7LyUamhXygXU2sq9Ok7WSh5r5cPJ+EzOJeSQlFPExtOJbDytD+tbKeW09HOgnb8zbf2daNPACQdrZZ0fj4RERUgGUC1gpZRz/vP+Jskeiclg7KKj1cotfqE9jwQ6mzR2bdOpUyfD/xUKBe3atePChQuGtoYNG9a4z71795KXl8ehQ4f48MMPadiwIc8884xh++2JAUVRLNdmikyXLl2IjIzkk08+YdWqVSgU0ikuIWEqJRodG88kMG9PDOcTcwAQBOjbzIOXuwWRllvM68tPABiF8UuvwqlPhhmWwheWaDl1PYvjcZmGT3ahmkPRGRyKvjVPqLGHLW39nWh70ygKcJHqK0rcG6SnQy0gCILJYaiujdzwclCRlF1U4TwgAfB0UNG1kVu9SixW9oZ0JyGwwMBAAMLCwkhOTmby5MkGA8jT07OcJyclJcXg8XF1dUUul1cpU0pYWBjff/89ffr0YcSIEaxevRqlUnrDlJCoiuwCNSuOxLPkQCxJOfqJzlZKOU+18+WFzoEEutoYZOeObsPkv8+TVGZCtGcFeYCsLOR0DHKhY5A+dK7TiUSl5nE8LpNjNw2imLR8LifncTk5j5VHrgHgamtBmwb6kFm7ACea+zhgqZDq5UnUPpIBdI+RywQmDQnhtWUnEKj4LWrSkBCzGj+HDh2iW7dugH5OzfHjx3nzzTcN2+8kBFYWURQpLi42/N2pUye2bdtmNA8oIiKC8PBwACwsLGjbti3btm3jscceM8jc/ncprVq1YseOHfTp04ennnqKNWvWSEaQhEQFxKcXsHB/DL8fu0ZBiRYANztLxoYH8GyHBjhaW5TbR+thRVE3D0qS8qFYC5ZyCj1t0HpUfd3LZAKNPOxo5GHH0480ACA9r1jvHYrP5HhsJqdvZJOWV0LE+WQizicDYCGXEebrQDt/J9rcnEvkamtZy9+ExMOIZACZgQHNvZg7uk25bKoVvUWZg9mzZ9OoUSOaNWvGDz/8QGZmJuPGjTNsr0kIbPbs2TRo0MAwH2ffvn189913/Pe//zXIvP3223Tr1o3p06fz2GOPsWHDBrZv386+ffsMMu+88w5jxoyhTZs2hIWFsXLlSuLj4/nPf/5T4bgtWrRg586d9OrVi+HDh7NmzRosLMrfzCUkHkaOx2Uyf280W88lUZq2p6mnHS91DWJIS69KPS4bU7N46Wys/sXN+ZYRklyi4aWzscxvHsBgN0eT9XCxtaRfqCf9Qj0BKNZoOXsjh+NxGRyLzeREfCZpeSWGEFopga42tGmg9xC19XeioZstsnrkMZe4PzC7ATRnzhy+/fZbEhMTCQ0NZebMmXTt2rVC2X379vHBBx9w8eJFCgoK8Pf359VXXy23gmjt2rV8+umnREVFERwczFdffcUTTzxxLw7HZAY096JviGe9rKczbdo0pk+fzsmTJwkODmbDhg24urreUV86nY6JEycSExODQqEgODiYadOm8eqrrxpkwsPDWbVqFZ988gmffvopwcHBrF69mg4dOhhkRo4cSXp6Ol9++SWJiYk0b96cTZs24e/vX+nYoaGh7Ny5k969ezNs2DDWrl0rGUESDy1ancjWc0nM2xvNyfgsQ3v3xm683DWIzg1dqpx7oxVFPrlyo9IUHgLw6ZUbDHB1QH6Hc3gsFfKb84GceKWb3lscl15QJmyWweXkPGLS8olJy2ftCf3KNAcrJW0aOBrmErX0c0Bp/lupRD1HEM2YqGH16tWMGTOGOXPm0LlzZ3755Rfmz5/P+fPnadCgQTn5kydPcvHiRVq0aIGNjQ379u3j1Vdf5YcffuCVV14B9Euqu3btyhdffMETTzzB+vXr+eyzz9i3b5/RA7UqcnJycHBwIDs7G3t7e6NtRUVFxMTEEBgYiEqluvsvoR4RGxtLYGAgJ0+epFWrVuZWp0J0Oh05OTnY29sjk92/y2kf5PPIHKjVajZt2sSgQYOkcOdt5BVrWHPsGgv3x3AtoxDQh5Ueb+3NS12DaOxhZ1I/+zNzGRYZVa3c2lbBdHYyrc87IbtAzYlrmZyIy+RYbCaR17IoVGuNZBQygWZedjhrs3iyWys6BLvh6SBdZw8DVT2/b8esBlCHDh1o06aNUTK7Zs2a8fjjjzN16lST+njyySexsbFh6dKlgN5TkJOTYzQJd8CAATg5ObFy5UqT+pQMIMkAqmse5PPIHEgGUHkSswtZfCCWFYfjyS3SAPpl6mM6+jO6kz/udqadd2qdSER6Nt/HJHE+v/JM0KXMDfHnCQ+nu9K9Jqi1Oi4m5nIsLkPvJYrNNEzkLouPo5VhYnWbBk409bRDIeUkeuCoiQFkthBYTZLbVcadJNWriOLiYqNJuTk5+uWfarUatVptJKtWqxFFEZ1Oh06nM0nP+4XS46nPx1Zqr5f+BvcrOp0OURRRq9XI5dIKl7ul9Dq9/Xp9GDmXkMPC/XFsOpuE5uYEn0AXa8aG+/NEK2+sLPTnW3XfVUxhMauSs1iTnEWqWmPy+C4y4Z7/Dk09rGnqYc3oR3wBSMgq5GhMOhsOnCUNey4l53Ejq5AbWYX8dSoBABsLfU6iNn6OtPF3pJWvA3YqyXi+36nJuWc2A6gmye1u526S6lXE1KlTmTJlSrn2iIgIrK2tjdoUCgWenp7k5eVRUlJSpZ73G87OzmRm6icalhqB9ZXc3Fxzq3BXlJSUUFhYyJ49e9BoTH+4SFTNtm3bzK2CWdCJcCFLYGeCwJWcW16NhvYiPb10hDjlIEs7w87tZ6rsRw1EKqzZa2HLJcWtVV32Oi2d1HkcVNqQI8j1yYFuRxSxFnWkH9jNpto6sLtACQwPBMiiuAHE5gnE5EBMrkBsnkB+iZYDURkciNLnJBIQ8bKGQDuRQDuRIDsRZ8uKD1Wi/lJQUGCyrNknQZuS3O52aiOpXlkmTpzIO++8Y/g7JycHPz8/+vXrV2EI7Nq1a9ja2kqhCzMgiiK5ubnY2dnd18nSioqKsLKyolu3btJ5VAuo1Wq2bdtG3759H6oQWJFay5+RiSw6EEd0Wj6gT7UxqLkH48IDaO5TdQiglKsFxaxIyuSPlCwyNfr5NALQw8mWZzyc6ONsh1ImsDkth1cv6vP1lJs7IQgUCHKimrfnLT9Xs1+fVZ0TWp3I1ZQ8jsdnceLm51pmIQkFkFAgsF+/Ah83WwvD5OrWfg6EeNljoZDCZvWZmry8m80Aqklyu9u5m6R6FWFpaYmlZfm8EkqlsvyFo9UiCAIymey+noNyv1Ia9ir9De5XZDIZgiBUeI5J3DkPy/eZllfM0oNxLDsUR3q+3hNtZ6ngmQ4NGBsegLdj1Tl5AAq1Ov5JzWJZQjqHs/MN7V6WSp7xcuYZLxf8VMarJod6uSBXyPnkyg0Si2+FGrwtlbSxt+af1Gy+i08hXavjy0Y+d7warDap6JxQAs39nGnu58zznfVtKTlFnIjXT6w+FpfJuYRsUvNK2Ho+ha3nUwCwVMho6etoqG/WpoETTjbSytL6RE2uf7MZQGWT25Vdol5ZcrvKqGlSPQkJCYn7laspuczfG8O6kzco0ehfBnwcrRjXJZAR7XxNmsNyIa+QpQnprE3OJPumt0cuQB8Xe571cqGXsz2KKtJxtBcPM1P3BadFZ7JwwpFMWugyaOb+KZ0c2/DJlRssupFGulrDT80aYHmfvKi426sY0NzLkIetSK3l9PVsjsVlcOJmHqLMAjVHYjM4EnurlEewm41+crW/M20DnAhytanW+6XVifUyBcrDhllDYKXJ7dq1a0enTp349ddfjZLbTZw4kRs3bvDbb78BtZdUT0JCQuJ+QRRFDtwsTLqrTGHSln6OvNw1kAGhntWuZsrXaNmQksWyxHRO5NyaI+GrUvKslwtPeznjZVm9JyMlZStnzr4BiISQaGjXlAicOfsGQ5rPxjX0Ed48H89fKVlkqjUsah6I7X1YykKllPNIoLOhJqMoikSn5XM8NpNjcRkcj8skKjXf8Pn9mD4nkZO1Ul/o9aZR1MLXAVWZmo1bziaWS4LrVU+S4D5smNUAKk1u9/nnn1eY3C4xMZH4+HiDfG0l1ZOQkJCo75RodPxzOoH5e40Lk/YL8eDlrkG09Xeq1tNwKreA5QnprEvOJE+r9xgpBOjv6sAYbxe6OdkhMzFMJYpaLl/5nApm/1CaCvHylS8YGr4bpxZBvHA2hr2ZeTx58irLWwbhZnF/hyYFQSDYzZZgN1tGtPcDICO/RO8dulnK49T1LDIL1Gy/kML2C/qwmVIuEOqtL+UhE+DXvTHl+k7KLuK1ZSeYO7qNZATdQ8yaB6i+8rDmAbofkPIASVTEg5QHKLtAzfIjcSw5EEtyjj68b6WUM+JmYdKAMoVJKyJXo2VdcibLE9I5nVdoaA+0suBZLxdGejnfkTGSmXmIEyefrVauTevlODl15FRuAaNORZOu1hBoZcGqlsH4W927Gl7mOCdKNDrOJWQbSncci8skNbe4+h25VQh73we9pHDYXXBf5AGSAHRaiDsAeclg6wH+4SC7/1zFEhISd09cej4L98Xw+7HrhszG7naWPF9FYdJSRFHkRE4ByxLT+TM5i8KbiwUsBIHBbg486+1CuKOtyd6e29HpNKRn7DdJtrhY7/loaWfN320aMfJUFDGFJQw5cYWVLYMJta1+gvb9ioVCRusGTrRu4MRLXfW/y/XMQo7FZbDxdKLBK1QRIpCYXcSRmAw6BbvcO6UfYu7fV+j7nfN/wczmsORRWPui/t+ZzfXtdYAgCFV+xo4dWyfjlmX//v0oFIpyWaYXL15coU5FRbdi5HPnzqVFixY4OjrSoEEDOnfubJTtG6BHjx6MHz/eqG3WrFlYWlqyYsWKujosCYm74nhcBv9Zepwe3+1iycE4CtVamnra8f1TLdn3QS/e6NmwUuMnS61h/vVUeh69xOATV1iZmEGhTkcja0umNPTmZHgoc0MD6FKDUFcpoqglM/MQFy99xr794cTFzTFpP0tLd8P/g6wt+adNI0JsVKSUaHj8xBUOZObVSI/7GUEQ8HO25onWvgxp6W3SPim51WfblqgdJA+QOTj/F/z+HOVi6TmJ+vYRv0HI0FodMjHx1oTF1atX89lnn3Hp0iVDm5VV3b6VZWdn89xzz9G7d2+Sk5PLbbe3tzfSBzAKDfn6+jJt2jSCgoLIy8tj3bp1PPbYY5w8eZLQ0NAKx5w0aRLffvst69evZ9CgQbV7QBISd4FGq2PruWTm7zMuTNqjiRsvdam6MKkoihzOzmdZQjr/pGZRdDPbs0omMMTdkdFeLjziUP1KpIr71pKVdZyUlE2kpG6mpCTNsE2hcESnK0anK6xkbwFLS08cHdsbtXpYKvmzTSOeOx3Noex8njkdxdwQfwbVoGr8g4CppUfu1EsnUXMkA6g2EEVQm5h9UqeFze9T1URCtnwAQT1MC4cprU1KVerp6Wn4v4ODA4IgGLXBrVpgK1eu5Mcff+TEiRMEBwcze/ZsevToUb0uVfDqq68yatQo5HI5f/75Z7ntFelTliFDhgC35gB9+eWX/Pzzzxw6dKicASSKIm+99RZLly4lIiKCLl263JXuEhK1RV6xht+P6guTXs+8VZj0idY+vNg1sMrCpOklGn5PymBFYjpXCm7NKwmxUfGstwvDPJxwVNb8li6KOrKzT5CcspGUlC2UlNwK0ygUDri79cfdfRBOTh1JS9txcxUYVHQPa9zoUwSh/H3LXiFnVctgXj8fx6a0bF46G8s3TfwY7f3whHoeCXTGy0FFUnZRhXf/Uj5ce5q8Yg1Pt/czezLJBx3JAKoN1AXwtWnuzeoRIScBpvmZJv5RAlhUPSmyprz33nvMnDmTkJAQZsyYwdChQ4mJicHFRX+zsrW1rXL/rl27GoWnFi1aRFRUFMuWLTOq21aWvLw8/P390Wq1tGrVii+++ILWrVtXKKvValm1ahX5+fl06tTJaJtGo2HMmDFs376d3bt307Jly5ocuoREnZCYXcji/bGsOHKrMKmzjQWjO/ozpqM/bnYVTw7WiSL7M/NYlpjOptRs1DfXrFjLZTzu7shobxda21nX+EEpijpyciJJTt5ISuoWiotvJY9VKOxxc+uHh/sgnJzCkcluTSB2d+9PWPPZXL7yudE+AI0bf4a7e/9Kx1TJZcxrHsAHl66zLDGddy9dI7VEzXh/j4fiQS+XCUwaEsJry04gYGw+lv4d7GZDVGo+E9edYdOZRKYNa4GPCUktJe4MyQCSKMebb77JsGHDAP3cmy1btrBgwQLef/99ACIjI6vcv2w47cqVK3z44Yfs3bsXhaLi061p06YsXryYsLAwcnJymDVrFp07d+bUqVM0atTIIHfmzBk6depEUVERtra2rF+/npCQEKO+5s2bB8CpU6cM+aIkJMzF2RvZzNsbzcbTiYbCpEFuNrzYJZBhbXyN8sOUJaVYzeqkDJYnphNbeKvmYAs7K8Z4u/C4uxN2NcytI4oiOTmnSEnZRHLKJoqLb4XF5XJb3Nz64uE+GGfnzshklU+4dnfvj4tLLy5d+of8/ASKizdTXHKBrKxj+Pk+V6UOckHg2ya+uFko+CEumekxSaSUaOpN1ui6ZkBzL+aOblMuD5DnzTxAfUM8WbQ/hm+3XmLvlTT6/7CHTwY3Y6TkDaoTJAOoNlBa6z0xphB3AJYPr17u2T/0q8JMGbuWKetVUSgUtGvXjgsXLhjaGjZsaFI/Wq2WUaNGMWXKFBo3blypXMeOHenYsaPh786dO9OmTRt++uknfvzxR0N7kyZNOHHiBDdu3GDr1q08//zz7N6928gI6tKlC5GRkXzyySesWrWqUqNLQqKu0OlEdl5KYd7eaA5F38oY3DHImZe7BtGziTuyCpY5a0WR3Rm5LE9MZ2taNpqbLgJbuYxhHk6M9nYhzK5m17u+dt6Zm+GtzRQV3TBsk8ttcXPtg7vHIFycuyCTmbZE/fz582zZssVQc8naJpg2bS6QkrKRnNxXsLdrXuX+giDwQZAXrhaK+zZr9N0woLkXfUM8K80E/VLXIHo2dee9Nac4EZ/Fh+vOsOlsEtOeDDOpxImE6UhPh9pAEEwPQwX3Antv/YTnCiPBgn57cK96tSS+7NuHqSGw3Nxcjh07xsmTJ3nzzTcB/RweURRRKBRERETQq1evcvvLZDLat2/PlStXjNotLCxo2LAh7u7udO/enWPHjjFr1ix++eUXg0xYWBjff/89ffr0YcSIEaxevfq+zwsjcX9QpNay9sR1FuyLITpVX1tLIRN4tIUXL3UNormPQ4X7JRSVsCopg+UJ6dwoU1+rnb01z3q7MNTdERu56fcCvdFz1uDpKSq6btgml9vg6tobD/dBODt3Qy6vWV6e8+fP8/vvvxu1FeQ7kZISiIdHDKdPTaFLlzUm9fWirxuuFooHImt0TZHLhCqXuge72bLmP+Es3BfDdxGX2HM5Ve8NerQZI9pJ3qDaQjKA7jUyOQyYfnMVWEWRYGDANLMaP4cOHaJbt26Afk7N8ePHDQYMmB4Cs7e358yZM0bb5syZw44dO/jjjz8MRW1vRxRFIiMjCQsLq3Kc2+vAldKqVSt27NhBnz59eOqpp1izZo1kBEnUGam5xSw9GMuyw/FklBYmVSkY9UgDnq+kMKlGJ/JvRg7LEtL5Nz0H3c12R4Wc4Z5OPOvlQrMa5MsRRZG8vAskp2wiJWUjhYW3MujL5da4uvS66enpjlx+Z4k3dTodW7ZsqXBbfFxL3NziKC45QXr6AVxcTKu9+Ji7E04KxQOXNbo2kMsEXu4WRK9m7ry75hQn47P4YO0ZNp1JYtqwMLwcJG/Q3SIZQOYgZKh+qfuWD/QTnkux99YbP7W8BL6mzJ49m0aNGtGsWTN++OEHMjMzGTdunGG7qSEwmUxG8+bG7nB3d3dUKpVR+5QpU+jYsSONGjUiJyeHH3/8kcjISGbPnm2Q+eijjxg4cCA+Pj4kJiayceNGdu3aVekNuUWLFuzcuZNevXoxfPhw1qxZg4WFVLVZova4kqwvTLo+snxh0pHt/bC1LH97jS8sZmViBisTM0gqueXt6ehgw2hvFwa7OWJVTV2vUkRRJC//EinJG0lO2URhYaxhm0ymwtW1F+7ug3B16YFcfvcPy7i4OEPY63aKiuxISmyEt88lLlz8is7h/5jspejmbMe61g0ZdSqa03mFDD1x5Z5nja7PBLvZ8sd/wlmwL5rvIi6z+3Iq/X7Yw6ePhvBUW1/JG3QXSAaQuQgZCk0H18tM0NOmTWP69OmcPHmS4OBgNmzYgKura52Nl5WVxSuvvEJSUhIODg60bt2aPXv28MgjjxhkkpOTGTNmDImJidjb29OyZUu2bNlC3759K+03NDSUnTt30rt3b4YNG8batWslI0jirhBFkf1X05m/z7gwaSs/R17uGkT/UI9yhUnVOpGtadksT0xnV0auwefrrJQzwtOZZ71caGRjmldGFEXy8y/f9PRsoqAg2rBNJrPExaUnHu6DcHXtiVxeO/MDdTodiYmJHD16tEq5+PgwPDyjKC6+SFraNtzc+pk8xsOYNbomyGUCr3QLpldTD95dc4rIa1m8/8dpNp9JZOqTLfB0kMrp3AlSLbAKeFhrgZXmATp58mS5bM31BakWmERF1HXdpxKNjr9PJTB/XwwXyhQm7R/iycvdAmnr71xun5iCYpYnprM6KYPUEo2hvZuTLc96uzDA1cHkSb95+VdISdbP6SkouGpol8kscHHpcdPT0wuFonZSYmRnZxMVFUVUVBTR0dEUFlaW/NAYf/9IGvifwdq6IR07bKowJ1BVJBereeZUFOfzi7CTy1gSFkS4U9VzDivjQaoPVxatTmTe3mhmbLtMiUaHnUrBZ4+GMFzyBgFSLTAJCQmJWiGroITlh+NZciCWlJtFLa0t5Ixo58cLnQPwdzE2OIp1OjanZrM0IZ39WbdKPrhbKHja05lR3i4EmBjayc+PMkxkzs+/bGgXBAtcXLrh4T4YV9eeKBSVJ080lZKSEuLi4gxGT2pqqtF2S0tLAgICiIuLMypRczvZ2R1QKK5RUHCVxKT1eHuZsOK1DFLW6OqRywT+0z2Y3k3defeP05y6lsV7f5xm89kkvn4iTPIG1QDJAJKQkJC4jYoKk3rY3yxM+og/DtbGHoXL+UUsT0hnTXIGGTflBaCnsx2jvV3o6+KA0oQK3wUFMYbwVl7eRUO7IChxce6Ku/sg3Nz63LXRI4oiycnJREVFcfXqVeLj49FqtWXGE/D29qZhw4YEBwfj4+ODXC6vcBVYWfr1ewwbWzeuXp1KTPQsPNyH1HilWUVZo6c38WWMd92F4e9HGnnYsfY/nfh1bzQzt11hx8UU+v2wm8+GhDKsjY/kDTIByQCSMBAQEIAUEZV4WBFFkeNxmczbG03E+WRKL4VmXva83DWQR1t4Y6G4FbIq1Or4OzWL5QnpHM7ON7R7Wyp52suZZ7xc8FNVP+esoCCWlJTNJKdsIi/vvKFdEBQ4O3e5OaenL0pl1e786sjLyzN4eKKiosjPzzfabm9vbzB4AgMDsbYuP4coJCSEESNGGOUBArCxsWHw4MGEhISg1QZx7doiiooTuJGwggZ+L9RY19uzRr936TqpJRomPCRZo01FIZfxeo+G9Gmmnxt0+no27645xeYziXz9ZBge9pI3qCokA0hCQuKhRqPVseVcEvP3xhB5LcvQ3rOJGy91DSI82Lgw6fm8QpYlpLM2OZNsjd5rIhegj4s9o71c6OViX21W48LCeJJTNpOSspHc3HOGdkFQ4OwUjrv7YNzc+qBUOt7xcanVaq5du2YweJKSjEtXKJVKAgICCA4OpmHDhri4VF6AtSwhISE0bdqUuLg4du7cSXx8PCEhIYaEpHK5iqDAt7lwcSKxsXPw9hp+Rx6r27NGfxOTROpDlDW6JjT2sGPda+H8sieaWduv8O/FFPrO2M3koaE80VryBlWGZABJSEg8lOQVa1h1JJ5F+2O5kXWzMKlCxpOtfXixSyCNyhQmzddo2ZCSxbLEdE7k3Cp87Key4FkvZ572csHTsuqJtoWFN0hJ3URK8iZyck8b2gVBjpNjJzw8BuPm1hel0umOjkcURVJTUw0GT2xsLBqNxkjGy8uL4OBggoOD8fPzu+NM6TKZjMDAQNRqNStWrODChQsMHDjQsDDB0/NJ4uLnUVAQTXz8QoKC3r6jcR72rNE1QSGX8UbPW96gMzeyeef3U2w6k8jXT4ThLnmDyiEZQBISEg8VCVmFLD4Qy8rD8eQWV12Y9FRuAcsT0lmXnEmeVp/rRyHAAFcHRnu70M3JDlkVb9dFRQmG8FZOTmSZLTKcnDri4T4IN7d+WFjcWVX0goICoqOjDUbP7Xl6bG1tDQZPUFBQtVnca0pQUBCWlpbk5eURHx9PQEAAADKZguCg/+PM2TeIv7YAX99nsbC48zk8D3PW6JrSxNOO9a/rvUEzt19m+4UUjsbuYfLQEB5vJXmDyiIZQBISEg8FZ65nM39f+cKkL3UJ4sk2PobCpDkaLeuSM1mekM6ZvFvLvwOtLHjWy4WRXs5VZiouKkokJXULKckbyc45WWaLDCfHR3D3GIy7W787Mgi0Wi3Xr1/n6tWrREVFkZBgXINQoVDg7+9vMHrc3d3r5IEn6kSKY7LR5ZbQ2DeYM1HnOXfunMEAAnBz64+dXRi5uWeIjZ1L48af3tWYUtZo06nIGzRh9Sk2nk7i6yeb424neYNAMoAkJCQeYHQ6kR0X9YVJD8fcKkzaKciFl7sF0qOxvjCpKIocy85nWUI6G1KyKNTpvT0WgsBgNwee9Xahs6NtpcZEcXGywdOTnX28zBYBR8dHbnp6+mNp6VYj/UVRJCMjw+DhiYmJoaSkxEjG3d3dYPD4+/vXec6bwrNpZP0dhTZbr4e3TMkZCzh/+pxRGEwQBBoGv8fJyOe4fmMFfn4vYGXle1djS1mja0YTTzvWvR7Oz7ui+HHHFbZfSObojAymDA3lsVbeD703SDKAJCQkHjgKS/SFSRfuiyE6rfLCpFlqDX8kZLIsIZ2L+bfy2zSytmS0twvDPZxxsaj4NllcnEpK6mZSkjeRlX2MsnX9HBza4eE+CHf3gVhautdI99IkmaVL1LOysoy2W1tbExQURMOGDQkKCqo22VttUng2jfRlF4zavHXOWIgK8osLuLL7DE16tjRsc3bujLNTZzIy9xMTM4uQkG/vWgcpa3TNUMpl/Ld3I/qE6L1B5xJyGL86kk1nEvnyiYfbGyQZQGZEq9NyIuUEqQWpuFm70ca9DfJ6UApDQuJ+JS2vmJVHo1l6KI7MAn2tLTuVglEdGjA2PAAvBytEUeRgVh7LE9L5JzWLopvhMJVMYKi7I6O9XGjvYFPh23FxSRqpKVtJTtlIVtYRjI2eNrjfNHpUlp4m66zT6bhx44bBy3P9+nWjdBQymYwGDRoYvDyenp5myYIu6kSy/o4q1y5HRoDWjcuKRE7tPU7j7i0QyuQ8Cg5+l4xj+0lMWk+DBi9ha9vkrnUJsrbknzaNDFmjHz9x5a6yRj8MNPOy5883OjNnZxQ/7bhCxPlkjsTqvUFDWz6c3iDJADIT2+O2M+3INJILkg1tHtYefPjIh/Tx71Pr41V3cj///PMsXry41scFKC4u5vPPP2fZsmUkJSXh6+vLxx9/bFRgde3atXz66adERUURHBzMV199xRNPPGHYPnnyZKZMmWLUr4eHh9HS3h49etCqVStmzpxpaJs1axbvv/8+ixYtYtSoUXVyfBLm50pyHiuuynj3yB7UWr3x4OtkxbjOgYy4WZg0rUTD3PgUliemc7Wg2LBviI2K0d4uDPNwwkFZ/pZYUpJOSupWUlI2kZl5GAy128HevvVNT88AVCpvk/XNysoyKjVxe3ZlFxcXw/J0f39/LC3NH+IpupJpCHvdTqDOg8skEq1NpDAqE+tGt0qD2Nu3wN1tICmpm4mKnkHLFr/Uij4VZY2eE+LPYClrdKUo5TLe7tOIvje9QecTc3h71U1v0ONhhgUAWp3IkZgMUnKLcLdT8UigM3ITEnneb0gGkBnYHredd3a9g4hx0sGUghTe2fUOM3rMqHUjKDEx0fD/1atX89lnn3Hp0iVDm5VV3bmPR4wYQXJyMgsWLKBhw4akpKQYLc89ePAgI0eO5IsvvuCJJ55g/fr1jBgxgn379tGhQweDXGhoKBEREeTm5mJnZ1ftXIdJkybx7bffsn79egYNGlRnxydhHkRRZN/VNObvjWH35VRABoi0bqAvTNovxAOZTGB/Zh5Lr6azOTUb9U3PirVcxhPujjzr7UJrO+tyLwglJRmkpkbojZ6sQ4jirSzJ9vYt9Z4et4FYWfmYpGtxcTGxsbEGoyc9Pd1ou0qlIigoyODlcXR0vJuv5q7RFWlQJ+RRciP/5r+5aFIqrwfmo3PCUlRQJKiJi42jWSPj2mhBQe+QmhZBWtp2srNP4ODQplb0vD1r9MtS1miTCPG2Z8ObnZm98yr/23GVreeSORKTwZTHmqOUCXz+z3kSs28Z5V4OKiYNCWFAcy8zal37SAZQLSCKIoUa04oFanVaph6ZWs74AQxt045Mo4NnB5PCYVYKK5Ncl56et1zyDg4OCIJg1Aa3iqGuXLmSH3/8kRMnThAcHMzs2bPp0aNHtWNUxJYtW9i9ezfR0dE4O+tvimVXigDMnDmTvn37MnHiRAAmTpzI7t27mTlzJitXrjTIKRQKPD09sba2rrIYqiiKvPXWWyxdupSIiAi6dOlyR7pL1E+KNVr+PpXI/L3RXEzKBUAmQJiTjo+HdeSRYDdSitXMuZ7K8oR04opueS1a2lkx2tuFJ9ydyi2hVquzSE3dRnLKRjIzDxgZPXZ2YYY5PVZWftXqqNPpSEpKMhg88fHx6HS3PEeCIODr62sweHx8fMxW3FdXoKbkRt5NQycP9Y08NOmV1/uqCBky/LXuXFYkcDk1mma0NtpuYxOEl+cwEhJ/52rUt7RpvaLWQi6VZY1+07t8gVqJWyjlMsb3aXzTG3SaC4k5vLXyZIWySdlFvLbsBHNHt3mgjCDJAKoFCjWFdFjRoXpBE0kuSCZ8VbhJsodHHcZaWT5l/d3w3nvvMXPmTEJCQpgxYwZDhw4lJiYGFxd9rpLqcol07dqVzZs3A/DXX3/Rrl07vvnmG5YuXYqNjQ1Dhw7liy++MHidDh48yIQJE4z66N+/v1EoC+DKlSv4+vqiVCrp2LEjU6dOJSgoyEhGo9EwZswYtm/fzu7du2nZsiUSDwZVFSYd08GX04d2kWUrZ9yZGCLSs9HcfMewk8t40sOJ0d4uhNkZXytqdTapadtISdlERsZ+RPGWZ9LONtQwp8fa2r9a/XJycoiOjubq1atER0dTUFBgtN3R0dFQaiIgIKBOva6Voc0rQX3jlqFTkpCHNrO4Qlm5oyVKb1ssfGxR+tii9LQhdW5kpWGwIJ07l0ng0vUotFotcrmxgRkY+BZJyX+SlXWEjIw9uLh0r7XjqihrdHJRCR1rbYQHl1BvBza80Zmfdlzhpx1XK5QR0de2m/L3efqGeD4w4TDJAJIox5tvvsmwYcMAmDt3Llu2bGHBggW8//77AERGRla5f9kbe3R0NPv27UOlUrF+/XrS0tJ4/fXXycjIYOHChQAkJSXh4eFh1Mft83s6dOjAb7/9RsOGDYmJiWHmzJmEh4dz7tw5g2EGMG/ePABOnTpF06ZN7/xLkKg3xKbls3B/DGtuK0w6NjyQUY80IF8msvxGKotsfcg4H2/Yr529NaO9XRji7ohNmYexRpN709OziYyMfYii2rDN1raZwdNjbR1YpV5qtdqognpKSorRdgsLCwIDAw1eHmdn53s20VQURXQ5JeU8O9qcio0XuYsKC2+9oVP6r9ymfIjZcUhwuVVgpXjrnFBZWFJQUEBcXFy5lxOVygtf3+eIj5/P1ajvcHbuiiDUntfr9qzRSxIzOGvlSl+dDilTUNVYKGSEB7tWagCB3ghKzC7iSEwGnYLvLHFnfUMygGoBK4UVh0cdNkn2ePJxXv/39Wrl5vSeQ1uPtiaNXdt06tTJ8H+FQkG7du24cOHWTa9hw4Ym96XT6RAEgeXLl+PgoF96PGPGDIYPH87s2bMNxtLtDwZRFI3aBg4caOjP39+f3r1706hRI5YsWcI777xjkOvSpQuRkZF88sknrFq16o5T/UuYF1EUORaXybw90Wy7UL4w6YDmXuzNyePNq9f4Nz1HPy1ZpsBBIecpTyee9XKhWZll0RpNLqlp/5KSson09L2I4i1DwNamyU1PzyBsbIwf2rfrlJKSYlieHhcXZ1RBHcDb29swednX17ecF6QuEEURbWbxLUPn5r+6PHV5YQEUrlZGho6Fty0yK9OuE6vmrriMbmaUBwhAZm+By9BgQqKzOXHiBOfOnStnAAEE+P+HGzdWkZd3nuSUjXh6DLnj466MslmjjyttGHsunsUtgqSs0dWQkmta2NNUufsB6elQCwiCYHIYKtw7HA9rD1IKUiqcByQg4GHtQbh3eL1aEl/WGKlJCMzLywsfHx+D8QPQrFkzRFHk+vXrNGrUCE9Pz3KFGlNSUsp5hcpiY2NDWFgYV65cMWoPCwvj+++/p0+fPowYMYLVq1fXeWI4idpDo9Wx+WwS8/dGc+p6tqG9ZxM3Xu4ahI+3LauSMvn86EWSSm494DvYWxOaFM+Hvbtir9KvZNFo8khL26E3ejJ2o9PdemDb2DTC3X0wHu4DsbGp3KDPy8szKjWRl5dntN3e3t6o1ERFFdRrE1Enos0oouRm+Ep90+DRFWjKCwugcLc2hLAsfGxRetkgs7y7275Vc1dUIS4Ux2ST+ftltNnFOAwIwKq5K6FWoZw4cYILFy4waNCgcgagUumEv/8rREfPIDp6Bu5uA5DJav/6fMzdCTsBXjgTw77sfClrtAmYmg/oQcobJBlA9xi5TM6Hj3zIO7veQUAwMoIE9EbGB498YFbj59ChQ3Tr1g3Qz6k5fvw4b775pmF7TUJgnTt3Zs2aNeTl5RkMp8uXLyOTyfD11WeF7dSpE9u2bTOaBxQREUF4eOXzoIqLi7lw4QJdu3Ytt61Vq1bs2LGDPn368NRTT7FmzRrJCKrn5BapWX30WrnCpMPa+DAmPIAomY4fE9LZffi64YpxVsoZ6enMs94u+CvlbLp+AQsKSU7Wh7fS03eh092a32JtHYSH+2Dc3Qdha9u4Qj00Go1RBfWyqydB7xEtW0Hd1dW1zsJaok5Ek1ZomLNT6t0Ri7XlheUCSg9r/ZwdX1uU3vo5OzKLurmPCDIBVbAjVq3cyNt9neIrWdi08TDMbSooKCA2Npbg4OBy+/r5juX69d8oLIwnIXENvj51k56iq6Mt/5efzC9OvlLWaBN4JNAZLwcVSdlFFbya6/Fy0C+Jf1CQDCAz0Me/DzN6zKgwD9AHj3xQJ3mAasLs2bNp1KgRzZo144cffiAzM9MoZ09NQmCjRo3iiy++4IUXXmDKlCmkpaXx3nvvMW7cOIOh9Pbbb9OtWzemT5/OY489xoYNG9i+fTv79u0z9PPuu+8yZMgQfH19DXOAcnJyeP755ysct0WLFuzcuZNevXoxfPhw1qxZg4WFxR1+IxJ1xY2sQhbvj2HVkWtGhUnHdPSnWysvNuXkMuJqPGnqWx6Obk62POvtwgBXByxlMrTaApKTt6FSLeHgoY/Q6W656K2sAvDwGIyH+2BsbBpXGGpNT0831NaKjY1FrTYOHXl6ehpVUK8LY1rU6lCnFBo8OgZjR60rL6wQUHrZYuFtc9OzY4fSwxpBce9XkakaO5G3+zpFVzIRdSJyuZyQkBCOHz/OuXPnKjSAFAobAgLe5PLlycTE/IiX5xPI5XUzIdxfV8L6FoE8ey5eyhpdDXKZwKQhIby27AQCVGgEvdo96IGZAA2SAWQ2+vj3oadfz3qZCXratGlMnz6dkydPEhwczIYNG3B1vbO8Gra2tmzbto3//ve/tGvXDhcXF0aMGMGXX35pkAkPD2fVqlV88sknfPrppwQHB7N69WqjHEDXr1/nmWeeIS0tDVdXVzp27MihQ4fw9698dU5oaCg7d+6kd+/eDBs2jLVr10pGUD3h9PUs5u+NYeOZRLQ3MzEHu9kwtksgFr42/J6SxfSzt7IOu1soeNrTmVHeLgRYWaLVFpKeFkFyykbS0nai0xWiUIJOB1ZWDW56egZja9u0nNFTWFhoFNbKzs422m5jY2MweIKDg2u9grqo0aFOLqDkRu7NlVj5qBPzQVPe2BGUslsrsW7O2VG6WyHIzbNk/nYs/e0RLOTo8tSoE/Ox8LE1GEAXLlxg8ODBFc6D8vEeSXz8AoqKrnHt2hICAv5TZzoGWklZo01lQHMv5o5uw5S/jfMAKeUCaq3IbwfjeLKNL/aqB8OjLohlc65LAPrlrA4ODmRnZ5ers1NapycwMBCV6sGJhcKtPEAnT56kVatW5lanQnQ6HTk5OVXmAbofeJDPo8rQ6UT+vVmY9EiZwqThwS4MbO/LFWv4IyWTjJsrvQSgp7Mdo71d6OvigEwsISNjN8kpm0hL+xet9tYyc5XKl5zsxnTo+AZOji2NjB6tVmsoNXH16lUSEhKMSk3I5XKjCuoeHh61FtYS1VpKEm8mE7yu9+qokwtAW8H8P0u5wdgpnbejcLUyKitRH0n77TxF59Ox7+ePfa8GaLVavv/+ewoKChgzZkyFXiCApKQNnDv/DgqFPeGddqFUOlQod6eo1Wo2bdrEoEGDUCqV5Gi0hqzRljJByhpdBbdngg50teGJOftJzC6iV1N35j3Xrt56gqp6ft+O5AGSkJCoUwpLtPxxszBpTJnCpANbeBEU4spOTRHvZaZBpl7e21LJM17OPOPlgpdSJCNjL5cvbCI1bTtabb6hX5XKB3f3QXi4D0KlasrmzZuxsw1FEIRyFdSLi41z3bi5uRlVUK8Nz6CuWIs6sUyOnRt5aFILylbOMCCzVhg8OhY3V2LJnVX13tipCFVjJ4rOp1N0ORP7Xg2Qy+U0a9asyjAYgIfHEOLifyUv7yJxcb/QsOH7daqnlDXadOQyodxS91/HtGP4zwfYcTGF7yMu8f6A+z/NiGQASUhI1AkpuUUsPRjHsjKFSe1VCvq18UbtZ8vmvFxybpaEkAvQ18WeZ71c6OFkSXbmAZKjN3I1dTta7a2VV5aWXvo8PR6DsbdrYfDU5OXlkZWVxZYtW4iOjiYzM9NIFysrK6PVWmVXJd4JukKNYRVW6b+atMIKJ07IbJWGEFapZ0fuaPnAFJ9UNXYCoCQ+B12hBpmVgtDQ0GrDYIIgIzjoXU6dfolr1xfj6/dcjYrI3pGulWSNnuBfe16/B5UwXwe+Gd6Ct1dFMmdXFM287BnS0vT6d/URyQCSMBAQEIAUEZW4Wy4l5TJ/bzQbIhMo0erdH75OVrQKc+eKs4JlhUWQpZ9346ey4FkvZ0Z42GGRf4SUlLkcOL8NjSbX0J+lpSfu7gPxcB+MvX1LBEFWYQV1nU5HTEwMoK+g7ufnZzB6vLy87jhkqs1XGxk6JQl5aCspFSG3t7i15PymwSOzt3igH64KZxUKNys0qYUUXc3COswVf39/bGxsyM/PJyYmptKFEy4uPXBwaEd29jFiYn6iWdOv6lzfirJGp5Zo+LKRD/IH+HeqDR5r5cP5hBx+2RPNe3+cItDVhuY+tRu6vJdIBpCEhMRdI4oie6+kMW9vNHuvpBnam/jY49zYicMqLVd1GijUoBBggKsDozwdCeM0qalLuHI0Ao0mx7CfhYX7TaNnEA4ObRAEGdnZ2Zw8GWmooF5YaFx/z9LSkubNm9O4cWMCAgLuqIK6NrfEKISlTshDm1VJqQgny1vJBG8aPHK7h3OSvaqxE3mphRRfzsQ6zNUQBjt27Bjnzp2r1AASBIGGwe9x/MRIEhPX4N/gpWozcNcGt2eNXnQjjXS1hp+aNcDyPp5beC94f0BTLiblsvtyKq8uPc6GNzvjant/phaQDCAJCYk7plij5a/IBBbsizEqTNo02JkcXytOWQJoQAeBVhaM8nSin1U0uozVpJyP4LQmy9CXhYUb7u4DcHcfjKNDW9RqDXFxcRw8uJWoqCjS0tKMxra0tDRUUPf39+fAgQMMGDDApGXqoiiizS4x9uzcyEOXW3GpCIWrFUpvG2PPjvWDsRKmNlA1cSZvfwJFlzIMWdxDQ0M5duwYFy5c4NFHH600K7ajYztcXXqRlr6DqOgZhDX/6Z7pXTZr9F8pWWSqNSxqHihlja4CuUzgx6db8/ic/cSk5fP6shMse6kDFmZIw3C3SAaQhIREjcnML2H54TiWHIwj9WZhUpVShndDJ6LdLTih0t8MLQSBQW72PG6XRIP8NaRdi+C6+tYKMKXSxeDpsbdvQ0pKGufORhEVtZT4+HijUhOCIODj42NUQb30oXp77p6ylJaK0C87zzcYPLr8SkpFuFmXMXRsUHrbIlNJt8qqsAy0B4UMbU4JmuQClJ42RmGw6OhoGjVqVOn+QcH/R1r6TlJSNpGT8wr29mH3TPfH3J1wUih44WwMezPzpKzRJuBgrWTec215fPYBjsRm8Pk/5/jy8Xv3m9UW0lUtISFhMjFp+SzYF80fx69TdDNJn52NEnmgHUnulmQp9YZPI2tLhjnm0km3leK0v1AnZ1CaU1mpdL7p6RmEQt6MmJg4duy4SnT0HvLz843Gc3BwMFRQDwwMrLaCuqgTUacWGBUALbmRj1hUQakIGSjdbW6FsEpLRdRR9uQHGUEpxzLIgeLLmRRdztRnoZbJCAkJ4ejRo5w7d65KA8jOtimeHo+RlPwnUdHf07rV4nunPNDN2Y51rRsy6lS0lDXaRBq62zFzZCteXnqMZYfiaeZlz7MdKs/LVh+RDCAJCYkqEUWRo7GZzNsbzfYyhUntnVRk+1mR6mEFMgGVTGCAg4besn14ZK9AfSON0vVbSqUTbm79cHHuT06OF9HRsezcEUly8lajsZRKpVEFdRcXl0onEItaEU1aASU38ii+lkPjs3akHj+KWFLBunO5gNLT5lZdrJulIgTl/ee2r6+omjgZDCC7bvoyN6GhoRw9epSLFy+i0WiqLE4cFPQ2ySkbycjYS0bGAZydKy+FUxe0tLPm7zaNGHkqSsoabSJ9Qjx4t18Tvt16iUkbztHI3e6+KpUhGUASEhIVotHq2HSzMOnpMoVJVR7W5PhZk+JsAYJAE5XIQMvTtMpfjDIjDgA1oFA44ObWD0uLziQnO3L8WByxsXvRaIy9MV5eXgYvj6+vb4UPSVGrz55cds6OOjHfqFSEHUpEdKCQ6ctElM2gbKZSEQ8TqsZOZAPFMdnoirXILOU0aNAAW1tbQ1HZxo0rrsEG+gzePj5Pc/36UqKiv8PJae09Xz0XZC1lja4pr/cI5nxCDhvPJPL68uP89WYXvB3vD6NRMoDMiKjVUnDsOJrUVBRubli3a4tQyURBCYl7RU6Rmt9vK0wqkwtovKxR+9tQZKvEWibSSxVP5+JV+BUeQbi5IEuhsMfJqRclJS24fs2WY0djyc09btS/nZ2dUU4eGxsbo+2iWoc6Of9WCCtBb+xUmD3ZQl8qQuFlzbnUq7QbEI7Kyx5BLi1nvtcoXK2QO6vQZhRRHJWFVYiLIQx25MgRzp07V6UBBBAQ8CaJiWvJyTlFaloE7m7975H2t/CwVPJnm0aGrNHPnI6SskZXgSAIfPtUC6LT8rmQmMMrS4+x5tVwrO6DULJkAJmJnIgIkr+eiiYpydCm8PTE46OJ2PfrV+vjVfcm9fzzz7N48eJaH3fs2LEsWbKkXHtISAjnzp0DYPHixbzwwgvlZAoLCw1lIgICAoiLiysn8/rrrzN79mwAevToQatWrZg5c6Zh+6xZs3j//fdZtGgRo0bVTdXpB4UbWYUs2hfDqqPXyLtZmFSwkFHiZ4O2gQ1YyGmqzKK7bhPtNRuxytfnwpHL7bC26kRubhMuXbQkISEZiDH0q1AoDKUmGjZsiJubm+F81JVoKY7LMZqzo04uAF0Fxo5Krg9d+doalp8rXPSlItRqNRmbzqPwsJaMHzMhCAKqxk7kH0qk6HImViH6TMKhoaEcOXLEpDCYpYUrfn4vEBs7m6ioGbi69EYmu/ePKSlrdM2wtlDw65i2PDZ7P2dv5PDhutPMHNmq3ue/MrsBNGfOHL799lsSExMJDQ1l5syZdO3atULZdevWMXfuXCIjIykuLiY0NJTJkyfTv/+ttwRTHqbmJicightvj4fbkg5qkpP17bNm1roRlJiYaPj/6tWr+eyzz7h06ZKhrbrJpXfKrFmzmDZtmuFvjUZDy5Yteeqpp4zk7O3tjfQBjH6vo0ePotVq0el05ObmEhcXR//+/cv1U5ZJkybx7bffsn79egYNGlRLR/TgcepaFvP2RrP5bJKhMKloo0ATYIvWyxobhYauwn66ajcQUBILgExmg0zoQmqaP1cuKyku1gJZhj49PDwMXp4GDRqgVCrRFWlQJ+STdznB4NnRpBRUnD3ZWmE0OdlQKqKe31AfdsoaQKXL4f38/AxhsKioKJo0aVJlH/4NXub69eUUFFwlKelPvL2H3yPtjZGyRtcMP2dr5jzbhtHzD7MhMoEQL3te7V5xGZT6glkNoNWrVzN+/HjmzJlD586d+eWXXxg4cCDnz5+nQYMG5eT37NlD3759+frrr3F0dGTRokUMGTKEw4cP07p1a4NcdQ/T2kYURcTbkrJVKqvVkvzlV+WMn5sdgQDJX32NTadOJoXDBCsrky5GT89bKeYdHBwQBMGoDW4VQ125ciU//vgjJ06cIDg4mNmzZ9OjR49qx6gIBwcHo7IDf/75J5mZmeWM1Ir0KYubmxugL4ZqbW3NnDlzCA4Opnv37uVkRVHkrbfeYunSpURERNClS5c70v1BRqsT+fdCMvP3xnAk9taydK2zJdoAW3SuljSRxdJdt5EOugOoKEYQrFCr23L9uifXrzkgiqXnpxZra2ujCuo2cpU+dHU9n5wjUbdKRVSAzE6JhY/drTw7PnbIHR7s7MkPKpbBjiAX0GYUoUkvQulqZRQGO3/+fLUGkEJhR0DAa1y9OpXomJl4eAxBLjfPaiwpa3TN6BjkwqQhIXy64RzTtlykiacdPZq4m1utSjGrATRjxgxefPFFXnrpJQBmzpzJ1q1bmTt3LlOnTi0nXza0AfD111+zYcMG/v77byMDqLqH6e0UFxcbFUvMydFnpFWr1eXyi6jVakRRRKfTodPpJ2DqCgq40q69yeNViaj3BF1u/4hJ4o2OHUVmbV2jIQx663QVtr/33nvMmDGDkJAQfvjhB4YOHUpUVBQuLnqXdnUVdrt06cKmTZsq3DZ//nx69+6Nn5+fkR55eXn4+/uj1Wpp2bIln3/+udFvWoooipSUlLB8+XImTJigNz7LGJNqtZrRo0fz77//snPnTlq2bFnuOOsDOp0OURRRq9WVJoirCwpKNKw/mcDCA3HEZ+gNElEAnZcVGn9bbOzVdBG304Pt+OmugWhJXl4QF655kJHhhU6nv2XI5XL8/PwIDAwkwKsBzmobtIkFqE/nk7f1AtmZFWdPljlYoPSyQeFtg9Jb/+/t2ZNFKDdRujpKr9Oq8gFJ3ANkYOFvR0l0DgUX0rDuqL8PN23a1BAGKywsrDIMBuDhPpL4+EUUFycSf+03fH3G1liV2jwn3vFzxVku8Fl0EotupJFaXMLMxj5S1ugKGNnWm7M3slh97Ab/XXmSta92INDVpvoda4ma/N5mM4BKSko4fvw4H374oVF7v379OHDggEl9lIZDnJ2Nl92VfZi2atWKL774osKHaSlTp05lypQp5dojIiKwvs24UCgUeHp6kpeXR0mJPmuszkTvT12Qk5uLrIYPi6KiIkRRNBh6peTl6Rctv/jii/Tt2xeAadOmsXnzZubMmcPbb78N6D1xVaFSqcr1DZCUlMSWLVuYN2+e0XY/Pz9mz55NSEgIubm5/PLLL3Tt2pW9e/dWWEl648aNZGVl8eSTTxr1o9FomD9/PgB79+4lMDCwQj3qAyUlJRQWFrJnz54aP+zvhOwS2JskY1+yjMKbw4kKAa2fDZoGtjSzvEBPttNePIRCJ5KR4cv5lG5kZvgYjB6VSoWDtR3uCie8tI7YJ1tiHS0iL7lOdgVjFltqKbDRUmCrId9GQ6GNFo3yprFaCETd/NQi27Ztq90OJWqMh0aFL9Zc33+ZqxknAP2Li1KppLi4mDVr1phUjFah7IZK9TtRV3/i9Cl74M68+LV1TrgDLymsWWjlyj9pOVxNSua1glRUFcVwH3IekcMROzkxuRrG/LqPCc21WN0ja6OgoMBkWbMZQGlpaWi1Wjw8PIzaPTw8SCozMbgqvv/+e/Lz8xkxYoShrWnTpixevJiwsDBycnKYNWsWnTt35tSpU5Um4po4cSLvvPOO4e+cnBz8/Pzo169fOW9HUVER165dw9bW1hBWE+3ssD921CSdC44d58Z//lOtnM/PP2Pdrm21cqaGwMqiUunnUtx+bLa2+qWePXr0MNrWvn17YmJiDG2tWrWq0XilzJkzB0dHR5555hksLG699ffu3ZvevXsb/u7Xrx/t2rVj8eLFzJo1y6gPURRZtmwZAwYMKOdKVygUdOnShcjISKZPn87KlSurfdM0F0VFRVhZWdGtW7c6Dc9eSspl/v5Y/j6ThPbmKiqdlRytvy1W3hr6KHbRg+146pLJSPchKrUjGRk+6HRKVJYqGnr54GfhjnexI1YpIrqEirMny11Uxp4dLxtk9+qOh/6tb9u2bfTt29ekUhgSdYc6qYCM2adxyFcxsG8XQ64lpVLJ0aNHsba2NmlOnij249jxoxQWxhASep0A/7dqpkcdnBODgJ5Zebx84RoXsWK+V2N+C/XH1aJ+3mfMSXiPYp6Ye4iknGK2ZHvy87OtkcvqPmxYk5des/9qtz+8SyfOVcfKlSuZPHkyGzZswN39VoyxY8eOdOzY0fB3586dadOmDT/99BM//vhjhX1ZWlpWWDhRqVSWu3C0Wi2CICCTyYyrS9ualifCrmsXFJ6eaJKTK54HJAgoPDyw69qlzpbEl+p9e3Xssu1lt91+vLbVHGvXrl3ZvHmzUZsoiixatIgxY8ZU+8CXyWS0b9+eq1evltMxJiaGXbt28ccff1RY3TssLIzvv/+ePn368PTTT7N69ep6+UCUyWQIglDhOXa3iKLInitp/LjrKsejb83v0TlaoAmwpZnbZXoLy2itO05OmgdpqUHEpHdDFC3wsnWjva0rXrl2OGfbIMsuvRZL0IG+VIS7tVFNLKW3DTJLs99KgIqvWYl7i8LXHrm9BdqcEnTXC1A1dgL01+bRo0e5fPkygAm/k5KGwe9y5uwb3LixGP8Gz2NhUfNVWLV9TvRyc2KdypJRp6I5k1/Ek2dipKzRFeDlpOTX59rx1M8H2XU5jZ92RfNe/6Z1Pm5Nfmuz3bVcXfUVg2/39qSkpJTzCt3O6tWrefHFF1mzZg19+vSpUrb0YXrlypW71rk2EORyPD6aqF/tJQjGRtBNw8/jo4lmzQd06NAhunXrBujDSsePH+fNN980bI+MjKxy/4pWlO3evZurV6/y4osvVju+KIpERkYSFla+tszixYtxc3Nj8ODBle7fqlUrduzYQZ8+fXjqqadYs2bNA/FQzCvIZ+q6v7heWIKvlQUTnxyKrfWt2HqxRssfJ27wv91RJKbr3cAioPOwwspfR0/H3XTT7UCRriAtNYBjGU9ggxM+WidalTjjpXPCorDMLUEmoPSwNi4V4SmVipCoGkEQsGzsRMGxZIouZxoMIF9fX+zs7MjNzSUqKoqmTat/GLq59cfOLozc3DPExM6hSePP6lp9k5CyRptGC19Hpg9rwfjVkczeGUVTT3uGtPQ2t1oGzGYAWVhY0LZtW7Zt28YTTzxhaN+2bRuPPfZYpfutXLmScePGsXLlyiofgqVU9TA1F/b9+sGsmeXzAHl41FkeoJowe/ZsGjVqRLNmzfjhhx/IzMxk3Lhxhu0NGzascZ8LFiygQ4cONG/evNy2KVOm0LFjRxo1akROTg4//vgjkZGRhvw+peh0OhYvXszTTz9dbWirRYsW7Ny5k169ejF8+HDWrFljFHa733hlwW9ExLtA8a3Q5PIru+jXIJ3pTz/NzL1RrD4UR1GRvnioKBfQ+ljRuEEcfVURBGQmkHGxAdfSeuGh9qSRzhlfnTP24s05bgqhXLVzpaeNlD1Z4o5QNSk1gDKAIED/MhoaGsqhQ4c4d+6cSQaQIAg0DH6Pk5HPcePGChr4jcPKyreOtTcNKWu0aTze2ofziTn8uiea9/44RZCbDU097TkSk0FKbhHudioeCXS+J+Gx2zGr3/qdd95hzJgxtGvXjk6dOvHrr78SHx/Pf27OkZk4cSI3btzgt99+A/TGz3PPPcesWbPo2LGjwXtkZWVlmFRn6sPU3Nj364dd7971MhP0tGnTmD59OidPniQ4OJgNGzbg6nrnCcCys7NZu3Ztufk8pWRlZfHKK6+QlJSEg4MDrVu3Zs+ePTzyiPFKuO3btxMfH8/o0aNNGjc0NJSdO3fSu3dvhg0bxtq1a+9LI+iVBb+x9Yp+BV7ZW4RYDFuvuBDx5TZDLh3RUoZFA4HuPvtpn38aXbw9pIVhXdKPRloX3EV75EoFSl9bI4NH6WGNIJeMHYnaQdXQCWSgSSlEk1mEwkkf9i41gC5duoRarTbJM+vs3Blnp85kZO4nOmYmoSHf1bX6JiNljTaNDwY05UJiDnuvpDFm/hEUcoGU3FsrRb0cVEwaEsKA5l73VC9BFCuaiHLvmDNnDt988w2JiYk0b96cH374wRB+GTt2LLGxsezatQvQT87dvXt3uT7KZjGeMGEC69atM3qYTp48mU6dOpmsU05ODg4ODmRnZ1c4CTomJobAwMB6k1ixtijNA3Ty5Mk7nuhc1+h0OnJycrC3t69wDtD9gqnnUV5BPs2n70IsNjZ+bkdnK8cvMJVe1gdokFiMXUpLvEt88FG6YeftVCahoA0KN2sEM7xt1SVqtZpNmzYxaNCgByLc+SCQMvcUJXE5OD7RENsO+gebTqdj5syZ5OTkMHLkSJo1a2ZSXzk5pzl67AlAoMMjG7G1rTqXENzbc6JIqzNkjZaBlDW6ArIL1PSZsYvUvJJy20rvRnNHt7lrI6iq5/ftmH3m4uuvv87rr79e4bbbSzOUGkJV8cMPP/DDDz/UgmYSEuZn6rq/oNi+SuMHoI/nKUbGuBHoMhq3AC8sO9vpS0U4qx44Y0fi/kDV2ImSuByKLmUaDKDSMNjBgwc5d+6cyQaQvX0L3N0GkpK6majoGbRs8Utdql5jpKzR1WOrUlSaMEBEbwRN+fs8fUM871k47P59hZaQeAi4Xlj+bakitFpP+n38Ao1f64zToCCsW7qhdLWSjB8Js6Fqop/8XByVhai5lYw0NDQUwBAGM5WgoHcQBDlpadvJyj5e/Q73mNKs0RP89Yt4volJ4qMrN9CaN8hSbzgSk0FaBd6fUkQgMbuIIzEZlcrUNpIBJGEgICAAURTrbfjrYcTJxHk5TkqZ9KYpUa9Qetsis1EiFmspib+Vm8XHxwcHBwfUanWNVufa2ATh5TkMgKir32Lm2RsVIggCHwR58VUjHwRg0Y00XjsfR3E9zEZ/r0nJLapVudpAMoAkJOoxnUM6gmWF9UKBm65jy5tyEhL1CEEmGJbAF13KvNUuCISEhABw/vz5GvUZGPgWMpkFWdlHSc8oPx+0vvCirxs/h/qjFAT+Ssni2VPR5Gq05lbLrLjbmTZn1lS52kAygCQk6jG+bs60dLxR4bZSo6ilUwK+bs4VykhImBODAXQ506i9bBistKSQSf2pvPD1fQ6AqKjvEMX661l5zN2J5S2CsJHL2JeVx7CTV0kteXhr1T0S6IyXg6rS+YwC+tVgjwTeu3uZZABJSNRjHgl0xgb9zeF2L5DMEjq6xZBcGHRPbxoSEqZi2cgRBFAn5qPNubXsuWwY7OrVqzXqM8D/P8jltuTlXSA5+Z9a1rh26eZsx7rWDXFRKjidV8jQE1eIKyxGK4rsz8xlfXIm+zNzH4p5QnKZwKQhes/f7UZQ6d+ThoTc03xAkgEkIVGPkcsEzmj1y2md3Qto63qDFl6JPOIax8uXf+WRI1uY0KjYLEnEJCSqQ25rgdJHnxiw6HKWoV0QBIMX6Ny5czXqU6l0wt//FQCio39ApzPdg2QOSrNG+6ksiCksoe+xS7Taf45hkVG8dj6OYZFRtDt4no2pWeZWtc4Z0NyLuaPb4OlgHObydFDVyhL4mmL2ZfASEhKVs+bf7eSkWSIADYqzOZ7tY9gmt2tBu+yTZPy7mpLBPbCwsjafohISlaBq7IT6eh5FlzOwaXerzFFoaCgHDhzg8uXLlJSU1ChJqZ/vWK5f/43CongSEtbg6/tsXahea5RmjR58/DLXi9WAceguqVjNS2djmd884IFPojiguRd9QzzrRSZoyQMkIVGPmXkuFQFQOWkY1acfK1/uyKynW/HbuPakBHUlW2FHfkY6B9YsN7eqEhIVomqiD88WXclC1N4K9Xh7e+Po6Fjj1WAACoUNAQH6+oQxsT+h1RbUnsJ1hKuFAk0lka7S5k8fkmXzcplAp2AXHmvlQ6dgF7N5sCUDyIzodCI3LmVy+WgSNy5lotM9+Ce+hOlcuHqFGyn6TKahlqk83trHcNPo1tidL55qwy4Xfdb045v+IjkmypzqSkhUiIWvHYJKgViooeR6rqH9bsJgAD7eI1Gp/CgpSeXatSW1pm9dcSgrj6QqJkGLQEKxmkNZefdOqYccyQAyE1EnU/jtowP8+cNJti04z58/nOS3jw4QdTKlTsYTBKHKz9ixY+tkXNAXV23WrBlWVlY0adLEUNutLGvXriUkJARLS0tCQkJYv3690fbc3FzGjx9PYGAgXl5edOnShaNHjxrJ9OjRg/Hjxxu1zZo1C0tLS1asWFHrx1XXfBhxEDQgs4bOzTpiqTCuExce7Er7LuFcsQkGUWTbvNnodA/3UluJ+ocgF1A1cgQqXw1WGgarCTKZBcFBEwCIi/8FtTrrrnWtS1JKNLUqJ3H3SAaQGYg6mcKWX86Sn1Vs1J6fVcyWX87WiRGUmJho+MycORN7e3ujtsoKld4tc+fOZeLEiUyePJlz584xZcoU3njjDf7++2+DzMGDBxk5ciRjxozh1KlTjBkzhhEjRnD48GGDzEsvvcS2bdtYsmQJ+/fvp2/fvvTp04cbNypeIg4wadIkJk6cyPr16xk1alSdHF9dUVCQz+lUfQHUxo4pPN+5UYVyHw9uximf7hQLFiRHXeb0ti33Uk0JCZMozQp9uwHk5eWFk5MTGo2Gy5cv17hfD48h2No2RaPJJS6ufpXHuB13C9Om3JoqJ3H3SAZQLSCKIupirUmf4kINe1dXfaHvXX2F4kKNSf2Zmg3V09PT8HFwcEAQhHJtsbGxCILAqlWrCA8PR6VSERoaalINtspYunQpr776KiNHjiQoKIinn36aF198kenTpxtkZs6cSd++fZk4cSJNmzZl4sSJ9O7dm5kzZwJQWFjI2rVr+eabb+jWrRtBQUFMmjSJwMBA5s6dW25MURT573//y6xZs4iIiGDQoEF3rL+5eHfVH4iFgAJauATiYmtZoZyzjQUTHmvPIedHANizYjF5mfculbyEhCmU5gNSX89Fm38rDHS3YTBBkBEc9C4A164voag4qRa0rRs6OtriZamssq6fp4WSjo6290ynhx3J1KwFNCU6fn279rKS5mcVM3/CHpNkX5nVHaWlvHrBGvDee+8xc+ZMQkJCmDFjBkOHDiUmJgYXF71Hwta26gu0a9eubN68GYDi4uJy1c6trKw4cuQIarUapVLJwYMHmTBhgpFM//79DQaQRqNBq9VW2M++ffuM2jQaDWPGjGH79u3s3r2bli1b1vj46wM7Uh0B8HbL5uU+3aqUfaqtL38c60ry/kt4FKWya8k8Hh3/wT3QUkLCNOT2lig9bVAn5VN8JRPrVu6GbaGhoezbt48rV65QXFyMpWXFxn5luLj0wMGhHdnZx4iJ+YlmTb+qbfVrBbkg8GUjH146G1thXi8AG7lAiU7ESi6ltbgXSB4giXK8+eabDBs2jGbNmjF37lwcHBxYsGCBYXtkZGSVn/nz5xtk+/fvz/z58zl+/DiiKHLs2DEWLlyIWq0mLS0NgKSkJDw8PIx08PDwIClJ/zZnZ2dHp06d+OKLL0hISECr1bJs2TIOHz5MYmKi0X7z5s1jzZo17Nq16741fn5cu46iTAWiACEKBY087KqUFwSBr59syV73HugQuHRwL7GR9a9YpMTDjWWT8mUxQO+dvpswmCAINAx+D4DExDUUFMTcvbJ1xGA3R+Y3D8DTUmnU7m6hwFomI6qwhDfOxz0UK8HqA5IHqBZQWMh4ZVZ3k2QTrmTxz/9OVSv36Jst8b45cbC6sWubTp063epfoaBdu3ZcuHDB0NawYUOT+/r0009JSkqiY8eOiKKIh4cHY8eO5ZtvvkEuv+W5ur2QpyiKRm1Lly5l3Lhx+Pn5IZfLadOmDaNGjeLEiRNG+3Xp0oXIyEg++eQTVq1ahUJx/53iS+L1E5kdXIt5vl9Pk/Zp6G7LU/07cmLNJVrnnCZi/hxemDEHpUXN3qYlJOoKVWMn8nZfp+hKJqJORLi59Lk0DLZv3z7Onz9PWFhYjft2dGyHq0sv0tJ3EBU9g7DmP9W2+rXGYDdHBrg6cCgrj5QSDe4WCjo62nI0O58RkVFsSsvm0ys39AVVpQLHdYrkAaoFBEFAaSk36eMX4oyNY9UPJVsnS/xCnE3q715dIGXHsbW1rfIzcOBAg6yVlRULFy6koKCA2NhY4uPjCQgIwM7ODldXfYZjT09Pg7enlJSUFCOvUHBwMLt37yYnJ4ezZ89y6NAh1Go1gYGBRvuFhYXx77//smvXLkaMGIFafX/V3tl99AhpKfqEhs3lmXRp6Gryvq/3bEhicHfy5DbkpiZzeN3vdaWmhESNsfS3R7CQo8tTo07MN9pWOg+oNAx2JwQF/x8gkJKyiZycM3erbp0iFwQ6O9nxhIcTnZ3skAsCHR1t+V+IPwALb6Qx91qqmbV88JEMoHuMTCbQdWTFK3pK6TKiETIzljY4dOiQ4f8ajYbjx4/TtGlTQ1tNQmClKJVKfH19kcvlrFq1ikcffRSZTH/6derUiW3bthnJR0REEB4eXq4fGxsbPD09yczMZOvWrTz22GPlZFq1asWOHTvYt28fTz311H1lBH1++DKCCEp7HY937lcjA1ellDNlWFv2uHQB4Mhff5B+/VpdqSohUSMEhQzLho4AFF02nqjv6emJs7PzHYfBAOxsm+Lpob8fREV/f1e6mouh7o5MDvYG4POoBP5MzqxmD4m7QTKAzEBwa3cGvNq8nCfI1smSAa82J7i1eyV73htmz57N+vXruXjxIm+88QaZmZmMGzfOsL1hw4ZVfnx8bpVruHz5MsuWLePKlSscOXKEp59+mrNnz/L1118bZN5++20iIiKYPn06Fy9eZPr06Wzfvt0op8/WrVvZsmULMTEx7Ny5k969e9OkSRNeeOGFCo+hRYsW7Ny5k4MHDzJ8+PAa5xgxB4nJyUSl6LPmhtikMLSVd4376NLIlRaduxBj5Y+o1bJt3v9MXikoIVHXGKrD3zYP6G5Xg5USFPQ2gqAkI2MvmVmHqt+hHvKqnxsv++o9v29diGd/Zm41e0jcKZIBZCaCW7vz3NfhPD6hNX1fDOHxCa0Z81W42Y0fgGnTpjF9+nRatmzJ3r172bBhgyFcVVO0Wi3ff/89LVu2pG/fvhQVFXHgwAECAgIMMuHh4axatYpFixbRokULFi9ezOrVq+nQoYNBJjs7mzfeeIOQkBBee+01OnfuTEREBEqlsoJR9YSGhrJz506OHDnCsGHD6r0R9M6fm6FERLCE8IZtUSnvbHXfx4+GcMKnJ2pBwY2L5zi3a3stayohcWeUGkAl8TnoCo0T/pUNgxUVFd1R/1ZWDfDxeRqA2NgZVLzWqn4jCAKTG/ow2M2BElHkhbMxXMwvNLdaDySCKL0eliMnJwcHBweys7Oxt7c32lZUVERMTAyBgYHllmXf78TGxhIYGMjJkydp1aqVudWpEJ1OR05ODvb29oYQ2v3I7edRSUkJId9EoMkTCPJO5/dxI3GtJPePKaw6Es/qhb/RJfMQFjZ2vDjzZ6ztHWrxCOoXarWaTZs2MWjQoCqNYgnzk/T9MTSphTg/2wzrsFsvVqIo8r///Y/09HSefPJJWrRocUf9F5ekcfBgT7TaAgoLx9K/34f35TlRqNUx8lQUR7Lz8bFUsrFt43KrxyTKU9Xz+3bu3yeIhMQDxKTf16DJExBl0Nre466MH4AR7fxQhHUnTelMSX4ue5YvqiVNJSTujlIvUPHlugmDWVq44uf3ws3/b0YU78/SElZyGYvDAmlobcmNYjXPno4iVyOVuqlNJANIQqIe8HeifuWXm1s+rw4sP/m7pshkAl8Nb8Ue9x4AnNu1nevnz951vxISd4uhOvzljHLz00oNoKtXr95xGAzAv8HLKBQOyOTJJCdvuHNlzYyzUsHyFkG4WSg4l1fEi2djKNHpzK3WA4NkAEkYCAgIQBTFehv+elBZvnUruekWALRQlNC4msSHptLYw47H+4dz1i4EgK3z/odWc/+siJN4MLEMtAeFDG12CZrkAqNt7u7uuLq6otVquXTp0h2PoVDY0cDvVQDi4v+HVntnS+vrA/5WlixrEYS1XMaezDz+79I1aWFDLSEZQBISZuZ/FzMRAGtnNc/371+rff+3VyPig3pSILMiK+E6R/9aV6v9S0jUFEEpxzJIPx/t9uKotRUGA/DyGoVO50hxcSI3biy/q77MTUs7a+aFBiAXYE1SJt/E1N+aZ/cTkgEkIWFGLkRHkZii9/iEWabRrdGdrbarDJVSzmfD27HXRR9WO7h2FVlJidXsJSFRtxiWw18un+em1ACKioqisPDOVz/J5SpKSvoBEBs3B43m/l5O3tvFnm8b+wHwQ1wySxPSzKzR/Y9kAElImJGZh86AFuQ2MKRtjzrJ7N29sRtNw7sTr/JFp1Gzbf4cyYUuYVZUN+uCFcdkoys2ntjr7u6Om5vbXYfBADTq9lhZBaJWZxIfv6D6Heo5o7xd+L8AfYb8Dy5dJyIt28wa3d9IBpCEhJnQ6XRczXAEoIlDCsM7BFa9w13wyZAQjvr0RCPIiT9zkksH99bZWBIS1aFwtULurAKtSHF0VrntISH6eWvnz5+/y5HkBASMByD+2gJKSu5/r8m7AZ487emMDnj1XBwncwqq3UeiYiQDSELCTGTmF0AxoBTo0iDkjhMfmoK7nYo3HuvIMYc2APy76FeK8vPqbDwJiaoQBKHSrNBgvBrsbsJgAK4u/bCzC0OrLSAmds5d9VUfEASBb5v40cPJjkKdjjGno4krvH8neZsTyQCSkDATRTr95efrmsnLvVvV+XjPtG+ALqwHmUoHinKy2LdqaZ2PKSFRGWXnAd0eki0Ng+l0ursOgwmCQMPg9wC4cWMFhYXX76q/+oBSJjC/eQDNba1IU2t45lQ06SX3Z74jcyIZQGZEp9Ny7dxpLuzfzbVzp9HppCRXDwupWVmIOgFRgHY2NrjZ3V3iQ1PQ5wZqzR63HgCcithE4tW7e7hISNwplsEOIBfQZhShSS+f86e2VoMBODt3xtmpM6KoJjpm5l33Vx+wVchZ3iIIH0sl0YXFPH8mmkKtlCOoJkgGkJm4cvgA8954kd8//4hNP37L759/xLw3XuTK4QN1Mp4gCFV+xo4dWyfjJiYmMmrUKJo0aYJMJjMqcFqWtWvXEhISgqWlJSEhIaxfv76czI0bNxgzZgxBQUHY2trSqlUrjh8/bti+bt06+vfvj6urK4IgEBkZWa6PgIAAZs6cafhbFEX+7//+Dzs7O3bs2HG3h2sy2TfT8dg7lfCfR3vds3GbetozqF9XLto2BkS2/vI/dFrJ8Ja498gsFVgG6EsVFF/KKLe9tlaDlRIc/C4ASUl/kpf3YBj+HpZKVrYMxkEh51hOAW+cj0MrLXAwGckAMgNXDh/grxlfk5dhPCEvLyONv2Z8XSdGUGJiouEzc+ZM7O3tjdpmzZpV62MCFBcX4+bmxscff0zLli0rlDl48CAjR45kzJgxnDp1ijFjxjBixAgOHz5skMnMzKRz584olUrWrFnD2bNn+f7773F0dDTI5Ofn07lzZ6ZNm2aSblqtlhdffJHffvuNHTt20KvXvTFEcvLy0Gr1l14zZT5NPauuV1PbvN27EVGBvSiSWZIeH8PJLX/f0/ElJEpRNS7NCl1+HpCbmxvu7u7odDouXrx412PZ27fA3W0gIBIVPeOu+6svNLZRsSQsEAtBYFNaNp9euSGt8jQRyQCqBURRRF1UZNKnuCCfHYt+qbK/HYt/obgg36T+TD3RPT09DR8HBwcEQSjXFhsbiyAIrFq1ivDwcFQqFaGhoezateuOv5uAgABmzZrFc889h4NDxcU4Z86cSd++fZk4cSJNmzZl4sSJ9O7d28hTM336dPz8/Fi4cCFt27YlICCA3r17ExwcbJAZM2YMn332GX369KlWr+LiYp566im2bdvGnj17aN++/R0fY01JzNdPWBRkIo937nbPxi3FykLOp089wn7njgDsXbWUnLTUe66HhIRhOXx0NqK6fPimNsNgAEFB7yAIctLStpOVfbz6He4TOjra8r8QfwAW3khj7jXpejYFhbkVeBDQFBfz4/PDa62/vIx0/vfCSJNk31ryB8parkr/3nvvMXPmTEJCQpgxYwZDhw4lJiYGFxcXAGxtbavcv2vXrmzevNnk8Q4ePMiECROM2vr3729kAP3111/079+fESNGsHv3bnx9fXn99dd5+eWXTT+wm+Tl5TF48GCuXbvG/v37adCgQY37uFNKSkoo1igALRaClnb+zvds7LL0bOLOH+E9Sdh6Ce/iJHYs+oXH3/vELLpIPLwoPKyR2VugyymhOCbbMDG6lJCQEHbu3El0dDQFBQVYW1vf1Xg2NkF4eQ4jIfF3oq5+S5s2K+sk95Y5GOruSGKxN5OuJvB5VALelkoe93CqfseHGMkDJFGON998k2HDhtGsWTPmzp2Lg4MDCxbcSiIWGRlZ5Wf+/Pk1Gi8pKQkPDw+jNg8PD5KSbqV7j46OZu7cuTRq1Ii1a9fyyiuv8NZbb/Hbb7/V+Pi++OILIiMj2bt37z01fgCuZeWAKIIMrCxUyGTmu/lOGtKcI9690CIj6tghrh47XP1OEhK1iNFy+ErCYB4eHrUWBgMIDHwLmcyCrOyjpGfsrpU+6wuv+rnziq8bAG9diGd/5v2d/bqukTxAtYDC0pK3lvxhkuz1C2dZN21ytXJPfjgZ32bNTRq7tunUqdOt/hUK2rVrx4ULFwxtDRs2rPUxb38LE0XRqE2n09GuXTu++uorcnJy6NKlCxcuXGDu3Lk899xzNRqrX79+bN++na+//trIy1TX6HQ6CjT6S85CpkVpad7Lz91exSuPhbN50QXaZp9k24K5NGjeAguVlVn1kni4UDVxouBYMkWXM4CgcttDQ0NJTk7m3LlztGnT5u7HU3nh6/sc8fHziYr6DhfnbgjCg+MLmNzQmxvFJWxMzeaFszH81aYRTW2ka7oiHpxf3YwIgoBSpTLp49+yNbbOVdd7snNxxb9la5P6u1fu27Lj2NraVvkZOHBgjfr29PQ08vYApKSkGHmFvLy8DNlhS2nWrBnx8fE1PpbevXvz119/8euvv/Lf//63xvvfKTcyMhF1gAA2Cot64Xof1cGfwua9yVbYUZCRxoE1K8ytksRDhqqhE8hAk1KIJrP8cvjS6740DFYbBPj/B7nclry8CyQn/1MrfdYXZILA/5r584iDDTkaHc+eiiaxuMTcatVLJAPoHiOTyek19pUqZXo+/woyWd1lBa6OQ4cOGf6v0Wg4fvw4TZs2NbTVdgisU6dObNu2zagtIiKC8PBww9+dO3culxDt8uXL+Pv712isUvr27cs///zDwoULeeONN+7Jqolsjf5yUyp0ONnVjzcyuUzgy+Gt2euqn4x9fNMGUmKjzayVxMOEzEqBhZ9+JWRFYTBXV1c8PT0RRdHIE303KJVO+Pvr78PR0T+g0z1YBoKVXMbisEAaWltyo1jNs6eiydVI6S5uRzKAzECjDuEMfeejcp4gOxdXhr7zEY06hFey571h9uzZrF+/nosXL/LGG2+QmZnJuHHjDNsbNmxY5cfHx8eov1LDKC8vj9TUVCIjI41q/Lz99ttEREQwffp0Ll68yPTp09m+fbtRzqAJEyZw6NAhpk6dSnR0NCtWrODXX3/ljTfeMMhkZGQY9X3p0iUiIyPLeZdK6dWrFxs3bmTJkiV1bgSlZWeh0+g9PjYyUMrrz6UX6u1A3/49uGIdBDodEfNmI+qkhGoS946qymJAbdYGu4Wf71gsLFwpLIonIWFNrfVbX3BWKljeIgg3CwXn84t48WwMJdJ1bYwoUY7s7GwRELOzs8ttKywsFM+fPy8WFhbe9TharUaMP3tKPL9vlxh/9pSo1Wruuk9TWLRokejg4FCuPSYmRgTEFStWiB06dBAtLCzEZs2aif/+++9djQeU+/j7+xvJrFmzRmzSpImoVCrFpk2bimvXri3Xz99//y02b95ctLS0FJs2bSr++uuv5Y6rorEmTZpkkPH39xd/+OEHo/12794t2traiq+++qqo0+nu6lgr43xSunjqWqZ4JjFDLCjW1Op5VBvkF6vFXlP+FL8e+bj43YjBYmTERnOrVCNKSkrEP//8UywpKTG3KhJ3QPG1HPHaB3vE65/tF3VqbbntaWlp4qRJk8TJkyeLeXl5JvVpyjkRf+03cfu/QeKevR1EjSb/jvWvz0Tm5IuBu0+JHjtOim+ej62ze1x9oarn9+0IoihlTLqdnJwcHBwcyM7Oxt7eOEldUVERMTExBAYGoqrl5efmJjY2lsDAQE6ePEmrVq3MrU6F6HQ6cnJysLe3RyarP16UqsgvLCAqXe9it1VqCPJwrZfn0b8Xkpn140K6Z+xHobLmpVm/YON4fyyjVavVbNq0iUGDBqFUKs2tjkQNEXUiiV8dRpevxu2VMCyDHMvJ/PzzzyQlJTFkyBDatm1bbZ+mnBM6XQkHD/WjqOgawUHvEhDw2t0eSr3k3/QcnjsTjVaECf4efBDkZW6V6oyqnt+3c388QSQk7mNu5OrT+AsycLG7t1mfa0LvZh54d+pDsoUbmqICdi6ZZ26VJB4SBFnVy+Gh9pMiAshkFgQH6XOQxcX/glqdVWt91yd6u9jzbWM/AH6IS2ZpQlo1ezwcSAaQhEQdotFoKNLoJ7Sr5Brsreq3d2LyY2Ec9u6FDoFLB/YQe/qkuVWSeEiobh5QqQEUExNDfn5+rY3r4TEEW9umaDS5xMVVnaX/fmaUtwv/F6BfWfvBpetEpGWbWSPzY3YDaM6cOYYwQNu2bdm7d2+lsuvWraNv3764ublhb29Pp06d2Lp1azk5UwprSpQnICAAURTrbfjrfuR6ZhboAEHA0cq6Xix9rwpPBxUvDO3CaXt9DqqIebPRlDxYK2Qk6ieWjRxBAHViPtqc4nLbnZ2d8fLyqtXVYACCICM4SF8o9dr1JRQVV7xo4kHg3QBPnvZ0Rge8ei6Okzm1k1bgfsWsBtDq1asZP348H3/8MSdPnqRr164MHDiw0twue/bsoW/fvmzatInjx4/Ts2dPhgwZwsmTt95STSmsKSFxLxBFkdzSxIcKDS629WPpe3WM6RRAXmgf8uQ25KYkcfjP382tksRDgNzWAqWPvsxO0eWsCmXqIgwG4OLSAweHduh0xcTE/FSrfdcnBEHg2yZ+9HS2o1CnY/TpaGILyxubDwtmnQTdoUMH2rRpw9y5cw1tzZo14/HHH2fq1Kkm9REaGsrIkSP57LPPABg5ciQ5OTlGtagGDBiAk5MTK1eurLCP4uJiiotvnQQ5OTn4+fmRlpZW4SToa9euERAQUG8mrz5MiKJIbm4udnZ29d6bkpyZSWqhPvzlYgVeTrfOpaKiImJjY/Hz86uX59G5hBze+245A1IiEGRynp02E2dvX3OrVSlqtZpt27bRt29faRL0fUzev9fI33UDy+YuOI5sVG57ZmYmc+bMQRAE3n77bWxsbCrtq6bnRHb2cU6dfhaQ067tP1hbB97NodRr8jRanjoTy9n8IgJVFvzZMhBn5YNRGCInJwdXV1eTJkGb7YhLSko4fvw4H374oVF7v379OHDggEl96HQ6cnNzcXa+VVDSlMKatzN16lSmTJlSrj0iIqJc8T2FQoGnpyd5eXmUSKEBs5GbW/9r3GSo9Q5WhUKHpSAjJyfHsK2kpITCwkL27NmDRqMxl4pV4hMcQGxuAwIK41nz7df49hlc743O2xNqStxf2OQqaIo9+RdSObDxClRwullbW1NQUMDatWtxda06qz7U7JxQWYWgUJzn4KGJFBfVrMTO/cZzgpxpNp7EFMET+08xoSAFC+7/ReE1yRZuNgMoLS0NrVZbbRHMqvj+++/Jz89nxIgRhjZTCmvezsSJE3nnnXcMf5d6gPr161epB8jW1rZevrk/6NwvHqCc/Dy0Gn3SMRuZiLNj+fPIysqKbt261dvzqHuxhie/U+NzcSmkJhJkZ0Wzbr3MrVaFSB6gBwNRK5J69RiKIugT1hWLBnblZJycnNixYwcymYxBgwZV2tednBN5+cGcOPE4SmUkj7T/BDu76usx3s+0KyjmiVPRRKNiY2AoPzf1Q16P76umUPZFszrM7vOqrghmZaxcuZLJkyezYcMG3N3d76pPS0tLLCsoKqpUKstdOFqtFkEQkMlk900emgcJ3c1MpqW/QX0lqUDN/7N33vFRVN0ffmZLdtMLqUBIQggk9CpNEAsIIlgQUbG9AhZQaa+K9WdHXxsdFUFsCFgQBaQoIkgRCESB0EkIJSEkpJet8/tjyUJI24RsZpPc58N8yM7cufc7m8numXvOPQfUqNQQ7OdbRqtKpbLVkCvnHnMV/LRapo3sy8ezD9I3awd/frOYmGt64+7CS/ld+f0UOIAW9DH+FO3LwHwiD8/ogDJNOnTowMaNG0lJSaG4uBhv77JGUqkuq3FP+Pu1JzTkNtLO/cTJlJl06by4JldRb2jrq+WLji25O+E4azPzeD05nbdimrn0w2VVVOfvX7FvkMDAQNRqdZVFMMtj2bJljBkzhuXLl3PTTTeVOuZIYU2BwJkYDAaMF4Of3VUm3N0Uf86oMYPahdKk10Aytf4YC/LY/M3nSksSNHCqygfk7+9Ps2bNan01WAktW05EkrRcuLCFCxccC8eoz/Ty82JOW1tNxUVnMph/6jwWWWZrVh4rzmWxNSsPSwPNl6yYAeTm5ka3bt3K+Gc3bNhQqgjmlXz77bc8/PDDLFmyhKFDh5Y57khhTVdBtsoUH8+mMCGd4uPZyFbn3WSSJFW6Pfzww04ZNzU1lfvuu482bdqgUqlK1fcqYcGCBfTr1w9/f3/8/f256aab2LlzZ6k2mzdvZtiwYTRv3hx/f39++umnMv28+uqrxMbG4unpae/nytV/kZGRpeLBZFlm6tSpeHt7s3Hjxtq4ZE7l5IEsgwoCXXi2xFFeu70j20Jtrq/9f2zg9MH9CisSNGT0bWwGkOl0HpYCU7ltSlaD1WZtsBLc3VvQrNk9ABw/8X6dFEpWmuHBfrzWqikArx8/S7u/9jMi4ThPJJ5kRMJxum9PZPX5bGVFOgFFfQhTpkzhs88+Y9GiRRw8eJDJkyeTkpLC448/Dthicx588FIg2rfffsuDDz7IBx98QK9evUhLSyMtLY2cnEsJnRwprOkKFO3PIO3dnWQs2MeFpYfJWLCPtHd3UrTfORk6U1NT7duMGTPw8fEptW/mzJlOGddgMBAUFMSLL75Ip06dym2zadMm7r33Xv744w+2b99OixYtGDRoEGfOnLG3KSgooFOnTsyaNavCsVq3bs2cOXPYt28ff/31F5GRkQwaNIjz58+X295isTBmzBi+/PJLNm7cyA03XH18i9Vqpeji7I8t8aHbVfepNE393Hng9gEc8IoDYO2nc7CYy/9iEgiuFrWPDm2oJ8hgOFp5cdTk5GSnLIiIjHwStdqD3Nx/OJ+xvtb7d0UeCw9mYBPbA1v2FZXj0wwmxu5PbnBGkKIG0KhRo5gxYwavv/46nTt3ZvPmzaxZs4aICNt0XGpqaqmcQJ988glms5kJEyYQFhZm3yZOnGhv06dPH5YuXcrnn39Ox44dWbx4McuWLaNnz551fn0VUbQ/g8yvD2LJKb2KzJJjJPPrg04xgkJDQ+2br68vkiSV2ZecnIwkSSxdupQ+ffqg1+tp164dmzZtqvG4kZGRzJw5kwcffBBfX99y23zzzTeMHz+ezp07Exsby4IFC7Barfz+++/2NkOGDOHNN9/kzjvvrHCs++67j5tuuomWLVvSrl07PvzwQ3Jzc/n333/LtDUYDIwcOZINGzawefNmevToUeNrvJzTF7KQrYAEfnp9vfalX85DvSPIbDuQQpWenLOn2f2LSC4qcB66NpVnhfbz86NZs2YATnGD6dwCCQ//DwDHj3+I1eqaKzVrE4sssz+/qNxjJXNgLx8906DcYYpHkY4fP57k5GQMBgPx8fH079/ffmzx4sWlvnw3bdqELMtltsWLF5fq86677uLQoUMYjUYOHjxY6ZdmbSDLMlajxaHNUmwm6+fjlfaX9fNxLMVmh/pzxvTsM888w9SpU9m7dy99+vRh+PDhZGZm2o97eXlVug0ZMuSqxi8sLMRkMpVKb1BdjEYjn376Kb6+vmVmnvLz8xk6dCgHDhxg69atxMXFXZXey8m9WPZCq7HSxLviHCX1DY1axRujrmFrE5sreev335J9ruFmzBUoiz0O6GhWhaEBzkqKWEJEi3FoNH4UFh4jLe0np4zhSuzIzifVUPHMrgycNZjYkZ1fd6KcTP2NznQhZJOVs6/UXrCcNddI6qvbHWrb9PU+SG7qWhsb4Mknn2TEiBEAzJ8/n7Vr17Jw4UKeffZZABISEio939396jIeT5s2jWbNmpUJcHeEVatWcc8991BYWEhYWBgbNmwokyvkjTfewNvbm8TExDIrCK+G89nZlDwoeqsl1KqGMftTQsfmfvQaOIhTPx4mvPgMGz6bx10vvNZgZrkEroMuwgfJTY0134QptQC3ixmiL6dt27asX7+ekydPkpubW2XSu+qi0XgTGfkEx45N50TSDEJChqFWl10t3FBINzo2y+Vou/qA4jNAAtejd+/e9p81Gg3du3cvNc3cqlWrSreSqema8L///Y9vv/2WH3/8sUb5ca6//noSEhLYtm0bgwcP5u677yY9Pb1Um0GDBlFQUMDbb79dY53lcd5gW6Kv1siE+JXv7qvvTL25DfsjbsSCipR/93Bkx1alJQkaIJJGha6VHwDFRy6U28bPz4/mzW3ZyZ3hBgNo3ux+dLpQDIZUzpz5xiljuArBDq5WdbRdfaDhXImCSFoVTV93bJWZISmHzM+rnrJt8p926KKq/hKVtHVjw17+lO/lVfZp7HL69etXqhSJo7z//vu8/fbb/Pbbb3Ts2LHa5wN4enraDbFevXoRExPDwoULef755+1tbrzxRp5++mluu+02LBYLs2dffe2f/MJCzBczP3uqLGg1DfPZwluv5b939+Pz2Qe4JjueDYs+JrJTF3QeDcfdJ3AN9K39KU7MpPhwFj7Xtyi3Tbt27Th9+jQHDhxwSpynWq2nZdREDh56nuST82jadCQaTeV5h+orvfy8CNNpSTOYys0HLQFhOi29/Cr//K9PNMxP6TpGkiRUbmqHNn2MP2rfylcGqX116GP8HerPGe6HHTt22H82m83Ex8cTGxtr35eQkFDp9tlnn1V7zPfee4833niDtWvX0r1791q5DrDFZ11e562EgQMHsmrVKhYtWsSECROuOpbq7MXgQUkNwRUEezcUbm4Xivc1g8nS+GLIzeavb79SWpKgAVISB2RMycVaVL7bpWQ1WEpKSrUyAFeH0NA78fBoicmURUrKQqeM4QqoJYk3Y2yz9+V9q8jAGzHN6n2m6MsRBlAdI6kk/IZFV9rGb1hLJAXjR+bOncuKFSs4dOgQEyZMICsri0ceecR+vLousBLDKD8/n/Pnz5OQkFAqf8f//vc/XnrpJRYtWkRkZKQ9vUF+/qVgu/z8fHs/YFv+mpCQYF8lWFBQwAsvvMCOHTs4efIke/bsYezYsZw+fZqRI0eWe5033HADq1ev5osvvrgqI8hkNlNsssVhuavMeOgadiZiSZJ49c5ObA8ZAEDC+tWkHTuirChBg0MToEcT5A5WKD6WXW4bX19fwsPDAefkBAJQqTREt5wKQMqphRiNzklV4goMDfLjs/aRhFbwGWZpOAvAAGEAKYJ7+0Ca3B9XZiZI7aujyf1xuLevusCfM3nnnXd499136dSpE1u2bGHlypUOFR2siC5dutClSxfi4+NZsmQJXbp0KVXDZ968eRiNRu66665S6Q3ef/99e5vdu3fTpUsXunXrBsDUqVPp0qULr7zyCgBqtZpDhw4xYsQIWrduza233sr58+fZsmWLfbVIeQwYMIA1a9bw1Vdf8cQTT9TICDqdlW17PJIkmlThHmwoNPf34J7bb+SQZwwg8+sns7FaLFWeJxBUh5JZIEMFWaHB+avBAIKCbsbbuwMWSyFJyfOcNo4rMDTIj9292/JD52jmt43gh87RTGxhWywy7cgpMhpQELSIAVII9/aB6Ns2wZCUgzXPiMrbDV2Ub53M/Dz88MOVZn6Oi4sr5Qa7WqoyKpKTk6vsY8CAAbZ0A1arfcXH5fW19Ho9P/74Y5X9lDdW//79a5xMzWq1kn8x8aFOY8bPo/5nfnaU//SNZNXfNxO55yQXUpJIWLeKrrfcprQsQQNC3yaA/K1nKT5yocKajm3btmXt2rWcOnWKnJycCvONXQ2SJNEq+hn2JjzImTNLaBH+CO7uzWt9HFdBLUn09b8U69TD15P1mbkcLCjmhaOn+bRdpHLiahExA6QgkkpCH+2HR+dg9NF+irq9BDUjLSsL+eLEh6+btlEtCdeoVbw6qifbA3oB8Oe3X5GX2XDdA4K6RxflAxoVlhwj5vTCctv4+PjQooUtSNpZbjCAgIC+BPj3RZZNnEia4bRxXBE3lYqZcS1QS/Bzeja/pGcrLalWEAaQQHAVZF1c+aXRWAnybZirQyqjSwt/utw0mFRdCFZjMb99/onSkgQNCEmrRtfSNqNTUVZocG5tsMuJjv4vAGlpP5Gff9ipY7kaHb09eLqFraj4tCOnG4QrTBhAAjuRkZHIskznzp2VllIvyMrNxWK2zfh4q2lwiQ8d5ZkhcSS0uAkrEid2bed4/M6qTxIIHKSq6vCAPZt7iRvMWfj4dCQ4aAggc/zEh04bx1WZHBlCnKeeTJOZF4+eVlrOVSMMIIGghpwrsqWNV6khxN9PWTEK4qPXMvnuAez1tZUcWbdgHqbiYoVVCRoKJdXhDUk5WA3lB9rXlRsMoGXLKUiSmoyM38jOiXfqWK6Gm0rFjIuusJXp2ayq564wYQAJBDWgqLgY48W6Xx5qM24NNPGho9zSIRRdj8Hkarwpyspg2/ffKi1J0EDQBLqjDtCDRcZwIrvCdnWxGgzA07MlYaG2UkHHj73nlHqMrkwnbw+euugKe+7IaTLrsSuscX9qCwQ15HRuPsggqSCkgSc+dARJknh9RFe2B9uKGe9evYLzKcnKihI0CCRJcsgNVpIU8fTp02RnZztVU1TU06hUbmTn7CLzwp9OHcsVmRwZQuxFV9gL9dgVJgwggaCaWCwWii8ufderzXg28MSHjhIe4MGdtw/iuEcUWK38+vFsZKtVaVmCBoDdADqcVeGMi7e3NxEREYDz3WB6fRjNmz8IwPHj7yPLjes+16lUzIit/64wYQAJBNXk9IUsZCsgQYCHh9JyXIox10ZxJnYwRknL+eOH2bdxvdKSBA0AXbQvqCUsF4oxZ1YcX1ZXbjCAyIjHUau9yM8/yLlzq5w+nqvR2ceDJy9bFVYfXWHCABIIqknexdkfrcZCgJe7wmpcC61axSv39GGHfw8ANn61iILsit0WAoEjqHQadBG2JKOGw+VXh4dLq8HOnDnjdDeYVutPRMSjAJw48RFWq9Gp47kiUyJDaOOpJ6OergoTBpBAUA3OZWVhLUl8qHVOMdr6TrcIf9rddAvpboFYigv548uGW0BSUHfo2wQAlccBeXt7ExkZCcChQ4ecrim8+cO4uQVSVJzC2bPfOX08V0OnUjHzoivsp/RsVp/PVlpStRAGkIJYrVaSkpLYt28fSUlJWJ0YLyFJUqVbZaUxrobU1FTuu+8+2rRpg0qlYtKkSWXa/Pjjj3Tv3h0/Pz88PT3p3LkzX31VtsL4mTNneOCBB2jZsiVeXl507tyZ+PhLy1AffvjhMtfVq1evUn1ERkYyY8YM+2tZlpk6dSre3t5s3LixyuvJNNriD9QamRA/EfxcEc8Nacfe8JuQgcNbN3FyX4LSkgT1HPty+BM5yKaKPyvrKikigEbjSWTkkwAkJc/GYik/W3VDprOPBxPCbbXCnjt8mgum+uMKE7XAFCIxMZG1a9eSm5tr3+fj48PgwYPtqxlqk9TUVPvPy5Yt45VXXuHw4UuZTN3dnePKMRgMBAUF8eKLL/LRRx+V2yYgIIAXX3yR2NhY3NzcWLVqFf/5z38IDg7m5ptvBiArK4u+ffsyYMAAvvvuO6KiokhKSsLPz69UX4MHD+bzzz+3v3ZzK11w9nIsFgvjxo3jl19+YePGjfTo0aPSa8krKMB8MfOzl9rSaBMfOoKvh5YnR93AD7P30zFvP2s/ncuYD+aiqeT3IRBUhibEA5WPG9ZcI4akHHtg9JXExcWxZs0aUlNT8fcvv01t0qzpKFJSFlJcfIpTp74gMvIJp4/pakyNCmVtRi5HCot58chp5teTWmE1mgE6evQoX3zxBe+++y7/+9//+OKLLzh69Ghta2uwJCYmsnz58lLGD0Bubi7Lly93ypNLaGioffP19UWSpDL7kpOTkSSJpUuX0qdPH/R6Pe3atWPTpk01HjcyMpKZM2fy4IMPVlikcMCAAdxxxx3ExcURHR3NxIkT6dixI3/99Ze9zbvvvkt4eDiLFi2iW7duREZGcuONNxIdHV2qL51OV+q6AgICyh3TYDAwcuRINmzYwObNm6s0fgDOFtiCLyU1hNXBB2t9Z1jHMOg+hHy1B/npqfz9U+NzEQhqD0eXw3t5edndYM6OAwJQqdyIbjkZgJMpn2AyOX9MV0N3sVaYCliRns2aeuIKq5YBlJOTw2233UabNm2YNGkSixYt4rPPPmPSpEnExsZy++23l/lSbwzIsozRaHRoKy4u5tdff620v7Vr11JcXOxQf85IwvXMM88wdepU9u7dS58+fRg+fDiZmZn2415eXpVuQ4YMqfHYsizz+++/c/jwYfr372/f//PPP9O9e3fuvvtuYmJi6NatGwsWLChz/qZNmwgODqZ169aMGzeO9PT0Mm3y8/MZOnQoBw4cYOvWrfbAycowmkwYTLYJU1viQ3WNr7GxIEkSr4/szo6gawHY8dN3XDhb/wIlBa7DJQOo4kBouOQGqwsDCCAkZBheXrGYzXmcPNk46+F18fFgQouLrrAj9cMVVi0X2FNPPUVSUhLbt2+nZ8+epY79/fffPProozz11FN88cUXtSrS1TGZTLz99tu11l9ubi7vvPOOQ21feOGFSt08NeHJJ59kxAhbptP58+ezdu1aFi5cyLPPPgtAQkJCpefXxJ2Wk5NDs2bNMBgMqNVq5s2bx8CBA+3HT5w4wfz585k8eTJPP/00Bw4c4Omnn0an0/Hgg7Z8HEOGDGHkyJFERESQlJTEyy+/zA033EB8fDw6nc7e1xtvvIG3tzeJiYkEBwc7pO90Vg7IGpAg2Nun2tfXWIlo4snQ24Zw5MuDRBSdYu2nc7n3/94WweOCGqGP8QcVmNOLMGcVo/HXl9suLi6O1atXU1hYSFZWlsN/5zVFklREt/wv//w7llOnv6B5+EPodaFOHdMV+W9UKOsuusJeOnqGeW0jlJZUKdWaAfr5559ZsGBBGeMHoGfPnnzyySesXLmy1sQJlKF37972nzUaDd27d+fgwYP2fa1atap0a9asWbXH9Pb2JiEhgV27dvHWW28xZcqUUq43q9VK165deeutt+jYsSOPPfYY48aNY/78+fY2o0aNYujQobRv355hw4bx66+/cuTIEVavXl1qrEGDBlFQUOCw0Wq1Wimw2J4VdBoL3u4ijqU6PNo/muTWgzFLalIP7uPgX5uUliSop6jcNbiF2x5AKnODeXp62pMiXv7Z5UyaNBmAr293rFYDSUmz62RMV0OnUjEjLhwV8OO5LH51cVdYtYOgK3tya6xPdVqtlhdeeMGhtidPnuSbb76pst3o0aPtf8BVjV0XXP679fLyqrRtv379qnTzXYlKpaJVq1YAdO7cmYMHDzJ9+nQGDBgAQFhYWJng8Li4OH744YcK+wwLCyMiIqJMfNqNN97I008/zW233YbFYmH27Mo/rM5eyEK22FxeTfS6StsKyuKmUfHyff14J+Vf+mT9zW+ff0pUl+64e3krLU1QD9G39sd4Mpfiw1l49QyrsF1cXBzJyckcPHiQ6667zum6JEmiVfQzxO8ZRWrqd0S0GIuHR5TTx3U1uvp4Mr5FMHNS0nn2yGl6+Xnhr3XN9VbVmgEaNmwY48aNY/fu3WWO7d69m8cff5zhw4fXmrj6giRJuLm5ObRFR0fj41O5C8XHx4fo6GiH+nOG0bljxw77z2azmfj4eGJjY+37EhISKt0+++yzq9YgyzIGg8H+um/fvqVWrQEcOXKkUiMxMzOTU6dOERZW9kNy4MCBrFq1ikWLFjFhwoRKY6lyzLY/E43WShMfz+peigDoERlAzA1DydT6YyrI48+vP6/6JIGgHOzL4Y9nI5srXg7fpk0bANLS0krFMDoTP7/uBDa5AVm2cPzEh3Uypivy38hQYjx0nDeaeenoGaXlVEi1DKDZs2fTtGlTrrnmGgICAoiNjSUuLo6AgAB69uxJWFgYs2bNcpbWBoFKpWLw4MGVthk8eDAqlXIpmubOncuKFSs4dOgQEyZMICsri0ceecR+vLousBLDKD8/n/Pnz5OQkFBqpdv06dPZsGEDJ06c4NChQ3z44Yd8+eWX3H///fY2kydPZseOHUyfPp0TJ06wZMkSPv30UyZMmADYApv/+9//sn37dpKTk9m0aRPDhg0jMDCQO+64o9zrvOGGG1i9ejVffPFFhUZQZk4uFrPNyPRRN95Zztpg2q3t2dP8RgAO/LGeM4ecn6dF0PDQNvVC5alFNlgwplS86MbT0xNvb9ssY13kBCqhZfRUQCI9fQ25ufvqbFxXQq+2JUhUAT+cy2Lt+RylJZVLteal/Pz8+PXXXzl48CA7duwgLS0NsC2x7t27d6lZAkHFtG3blrvvvrtO8wBVh3feeYd3332XvXv3Eh0dzcqVKwkMDKxxf126dLH/HB8fz5IlS4iIiCA5ORmAgoICxo8fz+nTp3F3dyc2Npavv/6aUaNG2c/r0aMHK1as4Pnnn+eNN94gKiqKGTNmMHr0aADUajX79u3jyy+/JDs7m7CwMK6//nqWLVtm/xAsjwEDBrBmzRqGDh2K1Wpl/vz5pYyc9GIzoEKlgbAAsfT9avDzcOPxUQP5ec5+2uUfYs0ns3nkvdmoNa45PS5wTSSVbTl84d50io9koWvpV2FbPz8/8vLyOHDgAP369asTfd5esYSG3EbauZ84fuIDunReXCfjuhpdfT15okUwc1PSefbIKXr6ebqcK0ySnbGOup6Tm5uLr68vOTk5ZdxVxcXFJCUlERUVhV5f/goER7FarZw8eZL8/Hy8vLyIiIhQdOYnOTmZqKgo9u7dS+fOnRXTURlWq5Xc3Fx8fHyc/l4VFRdxNNMAMni7mYkKrrkReCW1eR/VJ2RZ5uH5m4jZMhd3azHX3vsQPW8fedX9mkwm1qxZwy233FJncXEC5Sjcm86FZYfRhnkSMrFruW1MJhM///wz+/fvR5ZlnnrqKZo0aVIn+oqKUti+YxCybKJL568ICOhTJ+O6GsUWKwN3H+ZooYG7QvyZUwerwir7/r4Sh82xn3/+2WEBjTEOqCaoVCqiohpfkFx94XRuAcgaJBU09fdTWk6DQJIkXr37Gp46lMD1535n63dLiO3TH9/gEKWlCeoRuhg/kMCUWoAl14jap/yVmRqNhqioKE6cOMGBAwdK5RZzJu7uLWjW7B5On/6K4yfex9//h0bpPterVcyIbcGwPUf5/lwWw4L9uDnQdUoIOWwA3X777Q61kyQJi8VSUz0CgUtgsVgoulj1Xa8xo3Oxqdv6TFSgJwOHDyX5q4M0Lz7Lus/mMfL5VxvlF4SgZqi93NA288J0Op/iI1l4dq/YgI6Li6tzAwggMvJJUlN/IDf3H85nrCc46OY6G9uV6ObryePhwcw7lc4zh09xja/ruMIc9iFYrVaHNmH81F8iIyORZdll3V91yakLWWAFJIngKpb9C6rP4wOiOR5zMxZUnPonnqM7tyktSVDPcDQrdOvWrVGpVJw7d46MjIy6kAaAzi2Q8PD/AHD8+IdYra6fGdlZPBtlWxWWbjTzsgutChPV4AWCcsi/OPvjpjHj69F4YnTqCp1GzYv3DSDezxYgv+6zjzEUNr5K2oKao29jq/NXfDQb2VpxKKuHhwctW7YE4MCBA3WirYSIFuPQaPwoLDxGWtpPdTq2K1HiClMB35/LYu35bLZm5bHiXBZbs/KwKBSKXC0D6O+//y6T4O7LL78kKiqK4OBgHn300VK5WwSC+kjahQtYL05k+utEQK2z6NmyCS2uH0a2xgdjbhZbln6ltCRBPcKtuTeSXoNcZMZ4Oq/StiW1weraANJovO3V4U8kzcBiabzfj918PXksPAiAR/YnMyLhOE8knmREwnG6b09ktQJZo6tlAL366qv8+++/9tf79u1jzJgx3HTTTUybNo1ffvmF6dOn17pIgaAuuWC0/a/WyAT7imzFzuSFYR2Jb34DAP+sX8W5E8cUViSoL0hqCX2MHwDFhysuiwEQGxuLSqUiPT2d8+fP14G6SzRvdj86XSgGQypnzlRdBaAh09HbA7BFF1xOmsHE2P3JdW4EVcsASkhI4MYbb7S/Xrp0KT179mTBggVMmTKFWbNmsXz58loXKRDUFbn5+ZgvZn72UVtFYK6T8fd045G7B3PYsxXIMqs/no3VKuIIBY5xKQ6ocgPI3d3d7gary6SIAGq1npZREwFIPjkPs7ny2aqGikWWef342XKPlTjAXj56pk7dYdUygLKysggJuRRt/+eff5bKatyjRw9OnTpVe+oEgjomtcA2RS2poWkTkfiwLhjRtRmFXYZiULmRdfI4CetWV32SQMAlA8h0Og9LganStkq5wQBCQ+/Ew6MlJlMWKSkL63x8V2BHdj6phop/RzJw1mBiR3Z+nWmqlgEUEhJCUlISAEajkT179pSqHJ6XlyeSkAnqLUajEcPF4GdPtRm1gkkpGxOSJPHaPb3Z2cT2WfLnki/Ju1B3q3UE9Re1rw5tqCfIYDjquBssPT29jhTaUKk0RLecCkDKqYUYjY3v/k43OrYKztF2tUG1PuEHDx7MtGnT2LJlC88//zweHh6l0ov/+++/REdH17pIgaAuOJWdC7IMKgjzc51kXY2B6CAv+g8fRpouGKuxmA0LP1FakqCeoGvjuBus5Puprt1gAEFBN+Pt3QGLpZCk5Hl1Pr7SBLs5lvvH0Xa1QbUMoDfffBO1Ws11113HggULWLBgAW5ulzJwLlq0iEGDBtW6yIaKLFvIytpBWtrPZGXtQJadF/sgSVKl28MPP+yUcVNTU7nvvvto06YNKpWKSZMmlWmzePHicjUVFxfb22zevJlhw4bRvHlz/P39+emnnxy+xvfee8/eJjIykhkzZthfy7LM1KlT8fb25o9Ntlw0erUZdzcxk1nXjL8+hiOtBmNFImn3dk7s3aW0JEE94PI4oMqWw4OybjBJkmgV/QwAp09/Q1raL3Xy2e8q9PLzIkynpaKoSgloqtPSy6/u8q5Vy9QKCgpiy5Yt5OTk4OXlhVqtLnX8u+++w0skjXOI9PR1HDn6OgZDmn2fThdK65hXCA6u/Yyhqamp9p+XLVvGK6+8wuHDh+373N3da31MAIPBQFBQEC+++CIfffRRhe18fHxK6QFK1cgqKCigU6dOPPTQQ4wcWX7tqMuvEeDXX39lzJgxjBgxotz2FouFcePG8csvv/Dtjz/SIq4HSBDk6Zz3QlA5eq2a50bfwNx3/qFr7j/8+slcHp35MVqdyMMkqBhdhA+SmwprvglTagFuzSr+DmrTpg1qtZrz58+Tnp5OcHBwHSqFgIC+eHnGkl9wiAOJk+z7nfnZ7yqoJYk3Y5oxdn8yEpcCnwG7UfRGTDPUdbjwpFozQE2bNmX8+PFs37693IzPAQEBpWaEBOWTnr6OffsnlDJ+AAyGc+zbP4H09HW1PmZoaKh98/X1RZKkMvuSk5ORJImlS5fSp08f9Ho97dq1Y9OmTTUeNzIykpkzZ/Lggw/i61uxW+lKPaGhoaWODxkyhDfffJM777zToWsMDQ1l5cqVXH/99fbVH5djMBgYOXIkGzZsYPPmzUR26A6AVmPF38uzhlcruFr6RAcSev1w8tReFGdlsPX7b5WWJHBxJI0KXbQfUHVW6MvdYErMAqWnryO/4FCZ/c787Hclhgb58Vn7SEKvyK8WptPyWftIhgb51ameahlAS5Yswd3dnaeeeorAwEBGjhzJV199xYULld90DR1ZlrFYCh3azOY8jhx5jdL2r70nAI4cfR2zOc+h/mQnLBl85plnmDp1Knv37qVPnz4MHz6czMxM+3EvL69KtyFDhlR7zPz8fCIiImjevDm33nore/fuvaprOHfuHKtXr2bMmDHljjV06FAOHDjA1q1bCQoLw2q2PXX4aUXgs9K8MLwzu5teB0D8qhVkpCQrK0jg8tizQleRDwhKu8Gc8flZEbJs4cjR1ys6CsCRo280eHfY0CA/dvduyw+do5nfNoIfOkezq3fbOjd+oJousAEDBjBgwAA++OADDhw4wM8//8zcuXMZO3YsvXv35rbbbmP48OGNLhDaai1i058daqk3GYMhjT83d3ao9YDr9qFWe9TS2DaefPJJu9to/vz5rF27loULF/Lss88CtnxQlVFdd1psbCyLFy+mQ4cO5ObmMnPmTPr27cs///xDTExMja7hiy++wNvbu9wZozfeeANvb28SExMJDg7m4LkLgAqVRiZUVH1XnCZeOh4cdSt/zjtAy8JkVn88mwfffA9JrMoTVEBJHJAxJRdrsRmVvuKvthI3WEZGBunp6aVSuziT7OxdZWb9SyNjMKSSnb0Lf/9edaJJKdSSRF9/5ZPM1vgTpV27djz//PPs2LGDlJQURo8ezcaNG+nQoQPt27dn9WrHcnnMmzePqKgo9Ho93bp1Y8uWLRW2ra2AWkHlXJ7aQKPR0L17dw4ePGjf16pVq0q3Zs2aVWu8Xr16cf/999OpUyf69evH8uXLad26NbNnz67xNSxatIjRo0eXiiMqYdCgQRQUFPD2229TUFSEyWT7M/BWW0TiQxdhZPfm5HQehlHSkHH8MPv+WK+0JIELownQowlyB6utNlhl6PV6WrVqBdStG8xgcGzpvaPtBFdPraw3CwkJYdy4cYwbN47CwkLWrVuHTqer8rxly5YxadIk5s2bR9++ffnkk08YMmQIiYmJtGjRokz72gqorW1UKncGXLfPobZZ2bv4559HqmzXqdMi/P16ODR2XXC5YVBVoHu/fv3K1IyrDiqVih49enD06NEanb9lyxYOHz7MsmXLyj1+44038vTTT3PbbbeRmZfPM6+9j6SCpgEi8aGrIEkSr97bh+cOx9Mncxu/f7mIVt174eHrp7Q0gYuib+1P/vkiDEey8OgQWGnbdu3acfjwYQ4cOMD1119fJw8+Op1jAdeOthNcPdUygF555RWmTZuGh4fN5ZKVlYW/f+kvDQ8PD+644w6H+vvwww8ZM2YMY8eOBWDGjBmsW7eO+fPnl1tTrCSgFmxP+BVRElBbV0iS5LAbqknAtRfrwpyj/DggCZ0ulCYB1yJJ6nKOO58dO3bQv39/AMxmM/Hx8Tz55JP247XtArsSWZZJSEigQ4eauRUXLlxIt27d6NSpU4VtBg4cyMqVKxl+2+2YzPDG/6ajVSvzfgvKp1WwN32G3875bw4TVJzJb198xvCn/6u0LIGLom/tT/7WsxQfuVBlbE/r1q1Rq9VkZmbWmRvMz69HFZ/9ttVgfg48+Apqh2oZQG+99RZPPvmk3QCKiIggISGh3FU2VWE0GomPj2fatGml9g8aNIht27ZVu7/LKQmotVgsdO7cmTfeeIMuXbpU2N5gMJSqYp+bmwuAyWTCZCqduttkMiHLMlarFav1ypJujiAR0+ol9h94CipYDBjT6kVkWUKWa9J/1ZTovlJ/yeu5c+cSHR1NXFwcM2bMICsri4cffth+3JHf9+V9lxhM+fn5pKens2fPHtzc3Gjbti0Ar7/+Oj179iQmJobc3Fxmz55NQkICs2fPtveTn5/PsWPH7B9sSUlJ7Nmzh4CAgFKzhbm5uXz33Xe89957Ff5+Sn5/rTp3Yc4Xy3jq4Xvw1qn5eP68OnOBWa1WZFnGZDKVSSchuMSj/Vty//abCTy0hKNbN3HiuhsIb1vWMC75O73y71XQeFCFe4JGwpJjpPhMLnKAbaVRefeEWq0mOjqaI0eO8O+//zJgwIA60Rjd8gUSD06k7Ge/DS+vdpjNVsqWCxU4SnU+A6plAF1pVV9NBH1GRgYWi6WM5R0SEkJaWmWBYpVTk4Da6dOn89prr5XZv379eruxV4JGoyE0NJT8/HyMRmONNOp0vWkZ9T9OnX4Pk+mSv1erDSa8+X/R6XrbjTBnUFxcjCzLZcbIz7fVYHn55Zd55513+Pfff4mKiuKbb77Bzc2txpq6detm/zk+Pp5vv/2W8PBw/v33XwDS09N59NFHSU9Px8fHh44dO7J69WpiY2PtY/71118MGzbM3s9//2ubCbj33nuZN+9SVtXFixcjyzJDhw4tV6/VaqW4uJicnBzyzRp69L6WT775lvEP3IfZZOTDDz+sEyPIaDRSVFTE5s2bMZvrLvV7faRvSy/2nWlHx7wDrJj5AdG3jkCqwGjcsGFDHasTuBKtvLzwzXYj4ZcdpDe1xX1WdE+UPPTu3r2bgoKCOnv4UWseQqdbgUqVY98nWz2QVIVkZv7O+vVvYTZX/MAuqJzCwkKH20pyNawYlUpFWlqaPXmUt7c3//zzT41mgM6ePUuzZs3Ytm1bqaDbt956i6+++opDh8rmSricAQMG0Llz51JZfcvDarXStWtX+vfvz6xZs8ptU94MUHh4OBkZGfj4+JRqW1xczKlTp4iMjLzquCJZtpCdvRujMR03t2D8/Lor5vYCSE5OJjo6mvj4eDp37qyYjsqQZZm8vDy8vb2v6gMrLSuLjCLbe93UW0WAd90m8CwuLiY5OZnw8HCnxqc1FP67ZCdN1s3E01JIjztG0XvEPaWOm0wmNmzYwMCBA0U9wkZM4fZU8tacxK2lD173x1R6TxgMBj766CMsFgtjx46ts9VgYPvsz8nZjdF4Hje3IHx9u5OU/BGnT3+GSuVOl85L8fRsU2d6GhK5ubkEBgaSk5NT5vv7Sqo1AyRJEnl5eej1emRZRpIk8vPzyzxpVzUoQGBgIGq1usxsT237Yx0JqNXpdOUGbWu12jJ/OBaLbaWQSqVCddXLclU0adK76mZ1RMn11M61OYcSt1bJ76CmZF1c+aXRWGni41vnq79UKhWSJJV7jwnK8vKI7oz5pz/9z6xl188/0OG6G/APK7vaULyfjRuPuEDy1pzEeDIPtdX2N17RPaHVaomJieHQoUMcPnyY5s2b16FSLUFB15ba0zrmWQoLDnEh6y8SE5+iR4+f0GpFTcLqUp2//2p9g8iyTOvWrfH39ycgIID8/Hy6dOmCv78//v7++Pn5lQmKrgg3Nze6detWZnpyw4YN9OnTpzqyqtSckJBAWFhYrfUpqN9k5+VhuZj40FeDWPpeDwj00jFq1DBOuoeDxczqT+bUaRI7Qf1AE+iO2l8HFhlTctUue6WSIpaHJKlp334Gen1ziopTOJA4ucEnRVSaas0A/fHHH7U6+JQpU3jggQfo3r07vXv35tNPPyUlJYXHH38cgOeff54zZ87w5Zdf2s+5PKD2/PnzJCQklAqofe211+jVq5c9oHbWrFkkJCQwd+7cWtXeEImMjFT8Q6AuSCs0AmpUamjaRCx9ry/c06MFq7feSrOdn3Lu4D4Obf2TuGsHKC1L4EJIkoS+TQAFO1IxHM2u8hG/devWaDQaLly4QFpamuIPylqtPx07zGd3/EgyM//kxIkZREdPVVRTQ6ZaBtB1111Xq4OPGjWKzMxMXn/9dVJTU2nfvj1r1qwhIiICsCU+TElJKXXO5au54uPjWbJkCRERESQnJwOQnZ3No48+SlpaGr6+vnTp0oXNmzdzzTXX1Kp2Qf3EYDRiNGsAGQ+1Wcz+1CNUKon/G92fl47G0/PCTtYt+oSozt3RiwLMgsvQt/anYEcqxqPZUEUYjU6nIyYmhoMHD3LgwAHFDSAAb++2xMW+zYHEKSSfnIe3T3uCgxpukVQlqVEQxZo1a1i3rmzRtnXr1lU7Ad748eNJTk7GYDAQHx9vzz8DthU9VxbilGW5zFZi/AB89NFHnDx5EoPBQHp6OuvWrSsVZC1o3JzKzgVZBhU0D/BTWo6gmrQO8ab7rXdyQeuHpSCPjV9/rrQkgYuhi/YFtYTlggFdUdVfca7kBishNPQ2wsP/A0Bi4jMUFBxTWFHDpEYG0LRp08qtBi/Lcpm8PgKBq2C1Wiky2yY99RozbppaSYQuqGOeGhhHYtQgAA7+sY6zRw5WcYagMaHSadBF2Bbi+GRXHRAbExODRqMhKyuL1NRUZ8tzmFbRz+Hn1xOLpYB/9z2O2ZyntKQGR40MoKNHj9pjbi4nNjaWY8eEpSpwTU5nXkC2AhKEeXkqLUdQQ9zd1Ex6YAiJXjb/xi/zZmERuZQEl6FvY4vt83XAANLpdLRu3Rqo29pgVaFSaenQfhY6XSiFhUkcSPyv05LjNlZqZAD5+vpy4sSJMvuPHTuGp6f4YhG4JrkW24yPVmPF26NuaqgJnMN1rYPw6ncHRSo9+amn2Lv2F6UlCVwIfZsAALxztcimqo0GV3SDAbi5BdKxw3xUKjcyMn4jKVks5qlNamQADR8+nEmTJnH8+HH7vmPHjjF16lSGDx9ea+IEgtoiPSsb68VJgiY6UXqiIfDiiO7Eh/QFYNv3SzEVCBeBwIYmxAOVtxaVVcJ4surl8DExMWi1WrKzs13KDQbg49ORNm3eACApaQYZGRsVVtRwqJEB9N577+Hp6UlsbCxRUVFERUURGxtLkyZNeP/992tbo0Bw1WQYbU+Bao1MkG/ViToFrk+wt547R93BGV0YmI2k7tzmUk/vAuWQJAm3GD8A22qwKnBzc3NJN1gJTcPuolmz+wHYf2AyhYVJCitqGNTYBbZt2zZWr17N+PHjmTp1Kn/88QcbN27Ez8+vliU2XCyyzNasPFacy2JrVh4WJ354S5JU6fbwww87ZdzU1FTuu+8+2rRpg0qlYtKkSeW2y87OZsKECYSFhaHX64mLi2PNmjX245GRkUiShFqtxt/fH7VajSRJTJgwwd5GlmVeffVVmjZtiru7OwMGDODAgQPkFRRgvpj5efA1nZg5c2apc6ZOnYq3tzcbN4onq/rG6J4RpHW4FQsqjKkpnNj9t9KSBC6C7qIBZDiaU3nDi5TEtbqaG6yE1jEv4uvbDYsln3/3PYHZnK+0pHpPtQygv//+277MXZIkBg0aRHBwMO+//z4jRozg0UcfLVVTS1Axq89n0317IiMSjvNE4klGJByn+/ZEVp/Pdsp4qamp9m3GjBn4+PiU2ne5UVCbGAwGgoKCePHFF+nUqVO5bYxGIwMHDiQ5OZnvv/+ew4cPs2DBApo1u1TqYNeuXaSmpnLmzBkOHTpkT8MwcuRIe5v//e9/fPjhh8yZM4ddu3YRGhrKwIEDOXruPACSGtSXlc+wWCyMGTOGL7/8ko0bN3LDDTc44y0QOBGVSuKVB64nwa8zAOsWfYKxyPFiiIKGi1u0LzIylvNFmLOKq2x/uRvs7NmzdaCweqhUbnRoPxc3t2AKCo6SePA5lzTU6hPVMoBeffVVewVvgH379jFu3DgGDhzItGnT+OWXX5g+fXqti2xorD6fzdj9yaQaTKX2pxlMjN2f7BQjKDQ01L75+tpqX125Lzk5GUmSWLp0KX369EGv19OuXbsyuZiqQ2RkJDNnzuTBBx/E17f8ujaLFi3iwoUL/PTTT/Tt25eIiAiuvfbaUgZTUFCQXWtISAirV68mOjranpxTlmVmzJjBiy++yJ133kn79u354osvKCwsZMV3KwDwUF9aKWQwGBg5ciQbNmxg8+bN9OjRo8bXKFCW2FAf2g25kxyND+a8bDZ9+5XSkgQugMpdQ4G37W+++EhWle1d3Q0GoNMF0bHDXCRJy/nzazl58hOlJdVrqmUAJSQkcOONN9pfL126lGuuuYYFCxYwZcoUZs2axfLly2tdpKsjyzIFFotDW67ZzItHzlCe3V6y76WjZ8g1mx3qzxlPAM888wxTp05l79699OnTh+HDh5OZmWk/7uXlVek2ZMiQao33888/07t3byZMmEBISAjt27fn7bffLjfXFNhmjL755hseeeQReybnpKQk0tLSGDRokL2dTqejR6/e/LN7J0gSzfxsBlh+fj5Dhw7lwIEDbN26lbi4uOq+RQIX48mBbYgPtRWX/Hf9Ks4lHa/iDEFjIMfP9pDpiAEErrsa7HJ8fbvSpvX/AXD8xPtkZm5WWFH9pVqZ4LKyskpVav/zzz8ZPHiw/XWPHj04depU7amrJxRarURv3lcrfclAqsFE6y37HWp/vH8HPNW1u6rpySefZMSIEQDMnz+ftWvXsnDhQp599lngUj22inB3r94S8xMnTrBx40ZGjx7NmjVrOHr0KBMmTMBsNvPKK6+Uab969Wqys7NLxS2lpaUBlLo/rVYrvoEhnD11Cp3GjN7NlhPkjTfewNvbm8TERIKDg6ulVeCaeLhp6NuhOUezookpOM4v82byyLsfoVKJFX+NmVw/E81OgeFYNrLZiqSp/Jm/xA2Wk5PDmTNn6rhCvOM0a3Yvubn/cjZ1OfsPTOKaHj/h7t5CaVn1jmrNAIWEhJCUZIs+NxqN7Nmzp1SZiby8vGqVohe4Jpf/TjUaDd27d+fgwUvZdlu1alXpdnnsjiNYrVaCg4P59NNP6datG/fccw8vvvgi8+fPL7f9119/zeDBg2natGmZY5fX9krNykK2ykiSRIiH3r5/0KBBFBQU8Pbbb1dLp8C1aecvo+l9OwbJjZyUEySsr15ZHkHDo9DTguShQTZYMKZUvRxeq9XSpo0twaarusFKaNPmVXx8OmM25/DvviewWETsW3Wp1gzQ4MGDmTZtGu+++y4//fQTHh4e9OvXz37833//JTo6utZFujoeKhXH+3dwqO2O7HxG/1v1EsZvOkbRy6/qIo8eqhot5Ks2lxsWXlUUn+zXr1+1asKFhYWh1WpRXzaTFRcXR1paGkajETc3N/v+kydPsmnTJr7//vtSfYSGhgKUquicbVJxIeM8gcGB+HlfStB544038vTTT3PbbbdhsViYPXu2w1oFrs20O7szeV9vep37k03fLKb1Nb3xCmiitCyBUkiga+VH8b8ZFB/JQtfSr8pT2rVrx/79+zlw4ACDBg1y2YLJKpWODh3msmvXbeTnH+Lgwedp126Gy+p1Rar17fnmm2+iVqu57rrrWLBgAQsWLCj15bRo0aJSMRiNBUmS8FSrHdoGBPgQptNS0S0qAU11WgYE+DjUnzNu9h07dth/NpvNxMfHExsba9+XkJBQ6fbZZ59Va7y+ffty7NgxrNZLGVuPHDlCWFhYqfsLbAVyg4KCGDp0aKn9UVFRhIaGsmHDBgAyc3IpLjQR//dW+vbqWWbMgQMHsmrVKhYtWsSECRNc1t8vqB4hPnpuHTWCc27ByMZi1i4UQaKNHbfWfgAUH3YsDqhVq1a4ubmRm5vL6dOnnajs6tHrQmnffg6SpOFc+ipOnVqktKR6RbVmgIKCgtiyZQs5OTl4eXmVemIH+O6776qcHWjsqCWJN2OaMXZ/MhKUCoYuMWXeiGmGWkErfu7cucTExBAXF8dHH31EVlYWjzzyiP14q1atqtVfScxQfn4+58+fJyEhATc3N3vejSeeeILZs2czceJEnnrqKY4ePcrbb7/N008/Xaofq9XK4sWLueeee9BcUchUkiQmTZrE22+/TUxMDGr/ID6eMQO9uwePjx1Trq4bbriB1atXc+uttyLLMnPnzhVPTw2A+3tH8cBfQwnas5iTu7eRlBBPVOduSssSKISulS9IYEotwJJrRO3jVmn7EjfYvn37OHDgAOHh4XWktGb4+/UgJuZFjhx5jaPH3sHLK46AgD5Ky6oX1DgR4pXGD0BAQECZJ3ZBWYYG+fFZ+0hCdaXjpcJ0Wj5rH8nQID9lhF3knXfe4d1336VTp05s2bKFlStXEhgYWOP+unTpQpcuXYiPj2fJkiV06dKFW265xX48PDyc9evXs2vXLjp27MjTTz/NxIkTmTZtWql+fvvtN1JSUrj//vvLHefZZ59l0qRJPDF+PCMH30R6WipfLV+Oj0/FmZ8HDBjAmjVr+Oqrr3jiiSfETFADQK2SePGBm/jXtyMAqz6eg8ko8pM1VlSeWrTNbA/m1V0NlpiYWGpm2lVp3uwBQkPvAKzsPzCRoqIzSkuqF1RrBkhQewwN8mNwoC87svNJN5oJdtPQy8+rTmZ+Hn744UozP8fFxZVyg10tjhgVvXv3rnLMQYMGYbFYyM0tP5hRkiReffVVRo9/kiKjBkkFbUNKGz/Jycllzuvfvz95eaKOVEOiXVNfYm8ZQd7yY3hnneev777l+tEPKy1LoBD61v6YTudTfOQCnt1DqmwfHR1td4OdOXPG5WeBJEkits2bFBQcIS/vAPv2P0G3rstRq/VVn9yIqZsIWkG5qCWJvv7e3BHiT19/b0XdXg0Fi8VCsdlm1+s1ZtRqcYs3ViYN6ciBFrbs3vGrVpB5OkVhRQKl0Lf2B6D4aDayteoHMq1Wa497dPXVYCWo1Xo6tJ+PVhtAXt4BDh1+ScxoV4H4dhA0KE5dyEK2AhI08xHxaI0ZT52GRx+4jRMeEUhWCz/Pm4VcD9wZgtrHLdwHSa9BLjJjPO3YbO/ltcHqgxsMwN29Ge3bzQRUpKWt4PQZkRW9MoQBJLATGRmJLMt07txZaSk1Jv/i7I9WY8FDL6Z/GzsD24Ui9boTk6ThwvFD7PvjN6UlCRRAUkvoLxZHdXQ1WHR0NDqdjry8PJdfDXY5AQF9iGlli588evQtsrJ2KqzIdREGkKDBkHbhAtaL1TOC9CIhp8DGS/f0JSHQlgrhty8XUpjrWHVwQcPC7gZzMBC6PiVFvJLw8EcICRmGLJvZt/9JiotTlZbkkggDSNBguHCxtqxaIxPoW/HKL0HjItRXz6C7R5KhDUAuLmD959XLUyVoGJQYQKbTeVgKTFW0tlHfVoOVIEkScbHT8fKKxWTKZN/+CVitYiXklQgDSNAgyMkvwGyy3c6+mvrzQSWoGx66NpqUuKHIwPFtf3AqsXZq9wnqD2pfHdpQD5DBcLT6brD6VudSrXanY4f5aDS+5Ob+w+HDryotyeUQBpCgQZBWUAyApIZmTQIUViNwNdQqiecfHswBb1tg689zZ2E2OTYLIGg46NrYPhscdYNpNJp6txrsctzdW9C+3QxA4mzqcs6c+VZpSS6FMIAE9R6j0YThYvCzp9ossjkLyqV9M1+iBt9Nocqd4oxUtq/4vuqTBA2Ky+OAHFkOD/XXDVZCkyb9iW75XwAOH3mNnJw9CityHYQBJKj3nMrOAVkGCcID/JSWI3BhpgzrzL7wAQD8/dMystLOKitIUKfoInyQ3FRY802YUgscOqdly5bodDry8/NJSamfuaQiIh4jOGgIsmzi330TMBjSlZbkEggDSEEsVpntxzNZmXCG7cczsTj4RCK4hNVqpdBim/3RaSxoNSK5uaBivHQaHnnwTlL0zZEsZn6ZP0cki2tESBoVumg/AIqPXHDoHI1GQ1xcHFA/3WBwMSg67h08PWMwGtPZt/9JrFaj0rIURxhACrF2fyrXvruRexfsYOLSBO5dsINr393I2v3OWa4oSVKlW2WlMa6G1NRU7rvvPtq0aYNKpWLSpEnltpsxYwZt2rTB3d2d8PBwJk+eTHFxsf349OnT6dGjB76+vsTExHDHHXdw+PBhzlzIQr649D3MU8+rr75K06ZNcXd3Z8CAAQ59YGVnZzNhwgTCwsLQ6/XExcWxZs0a+/HNmzczbNgwmjZtiiRJ/PTTT2X6GDBgQJlrmzlzJjqdjiVLllSpQVB3DG4fhqnXHZglNecP/cuhrZuVliSoQ/RtLrrBHMwHBPXfDQag0XhdDIr2JicnniNH31JakuIIA0gB1u5P5Ymv95CaU1xqf1pOMU98vccpRlBqaqp9mzFjBj4+PqX2zZw5s9bHBDAYDAQFBfHiiy/SqVOnctt88803TJs2jf/7v//j4MGDLFy4kGXLlvH888/b2/z5559MmDCBbdu28eOPP2I2mxk0aBBpuUUAaLRW5s+dw4cffsicOXPYtWsXoaGhDBw4sNI6X0ajkYEDB5KcnMz333/P4cOHWbBgAc2aNbO3KSgooFOnTsyZM8fh6/6///s/nn/+eVasWMF9993n8HmCuuGle/vzT4CtQvzahZ9QXJCvsCJBXaFvbQuENqbkYi02O3ROVFQUer2egoKCeusGA/DwiKJd248AiTNnvubs2cYdByf8BbWALMsUmSwOtbVYZf7v5wOUN+kuAxLw6s+J9G0ViFpVdTCvu1btUNBvaGio/WdfX18kSSq1D2yFQqOiovj222+ZNWsWe/bsITo6mrlz5zJgwIAqxyiPyMhIu3G1aNGictts376dvn372g2FyMhI7r33XnbuvJTBdO3atYDN5ZWbm8uiRYsIDQ1l/55/6NarLwFaiRkzZvDiiy9y5513AvDFF18QEhLCkiVLeOyxx8ode9GiRVy4cIFt27ah1dqSJ0ZERJRqM2TIEIYMGeLQ9cqyzNNPP81XX33F+vXrufbaax06T1C3NPVz5/q7R3HysyP4F2az4cvPGfbEU0rLEtQBmgA9miB3zOeLMBzLxr19YNXnXHSD7d27lwMHDhAZGel8oU4iMPB6oqImkpQ0g8NHXsbLqzU+Ph2VlqUIwgCqBYpMFtq+sq5W+pKBtNxiOry63qH2ia/fjIdb7f4an3nmGWbMmEHbtm358MMPGT58OElJSTRp0gQAL6/Ka2z169ePX3/91eHxrr32Wr7++mt27tzJNddcw4kTJ1izZg0PPfRQhefk5Niy+fr4+aPSQGF2FmlpaQwaNMjeRqfTcd1117Ft27YKDaCff/6Z3r17M2HCBFauXElQUBD33Xcfzz33HGq12uFrADCbzTzwwAP89ttv/PnnnxXOeAlcg//0i+GhzYPxP7CUw5vW0/2mQYTFtFFalqAO0Lf2J/98EcWHsxwygMDmBtu7dy+JiYkMGTIElar+OlCiIieQl7efjIzf+HffE1zTYyVubo69Dw0JYQAJyvDkk08yYsQIAObPn8/atWtZuHAhzz77LAAJCQmVnu/u7l6t8e655x7Onz/PtddeiyzLmM1mnnjiCaZNm1Zue1mWmTR5Ml2u6UVMbFu81RbOpKUBEBISUqptSEgIJ0+erHDsEydOsHHjRkaPHs2aNWs4evQoEyZMwGw288orr1TrOhYsWADAP//8Y88dInBdNGoVz/7nVua8uofY/CP8NGcGj304B1U1DV9B/UPf2p/8rWcpPnIBWZYdmkWPiorC3d2dgoICTp48SVRUVB0odQ6SpKJd2/fZtftOCgtPsG//03Tp/AUqVeMqISQMoFrAXasm8fWbHWq7M+kCD3++q8p2i//Tg2uiqk7o566t/Q/r3r1723/WaDR0796dgwcP2ve1atWqVsfbtGkTb731FvPmzaNnz54cO3aMiRMnEhYWxssvv1ym/TPPPMO/+/bx+Q+/IqkgvIk/Z47ajl35QVbVh5vVaiU4OJhPP/0UtVpNt27dOHv2LO+99161DaBrr72WhIQEXnrpJZYuXYpGrEhzeTqF+9H85lEUr/gfpJ1i56qV9LrtTqVlCZyMrqUvaFRYcoyY0wvRhnhWeY5arSY2NtbuBqvPBhCARuNNxw7z2bX7TrKz/+bY8XdpHfOS0rLqlPo7h+dCSJKEh5vGoa1fTBBhvnoq+kqWgDBfPf1ighzqr66S/l0+jpeXV6Wbo/EyJbz88ss88MADjB07lg4dOnDHHXfw9ttvM3369FIrLkwmE4+MG8fqX3/l02W/EBLWDHeNGZVKZY9nSrs4E1RCenp6mVmhywkLC6N169al3F1xcXGkpaVhNFZvmWiHDh34/fff2bRpE3fffTcmkWm4XjBleFf2Ne0HwNblX5ObIXKkNHQkrdpmBFHz1WAWi2Nxn66Mp2cr2rZ9D4BTpz4nNe0nZQXVMcIAqmPUKon/G2ZLx3+l6VLy+v+GtXUoANpZ7Nixw/6z2WwmPj6+lEsnISGh0u2zz6pXbLKwsLCMP12tViPLsj1Hy/G0czwwbjxrVv/Kp0t/pnm4LVBZkm0GUlRUFKGhoWzYsMHeh9Fo5M8//6RPnz4Vjt23b1+OHTtWytA6cuQIYWFhuLm5Ves6ADp37szGjRv566+/GDlypDCC6gHeei0PPjSSs7pQMBv55eN5SksS1AHVrQ4Pl9xghYWFlbrW6xPBQTcTGTEegEOHXiQvr37mOqoJwgBSgMHtw5h/f1dCffWl9of66pl/f1cGtw9TSJmNuXPnsmLFCg4dOsSECRPIysrikUcesR9v1apVpdvlS8jhksGUn5/P+fPnSUhIIDEx0X582LBhzJ8/n6VLl5KUlMSGDRt4+eWXGT58OGq1mhPn0nnh2RdYs2I578xegKenFxnp58hIP0dmroUT59KRJIlJkybx9ttvs2LFCvbv38/DDz+Mh4dHqWXoDz74YKnl9U888QSZmZlMnDiRI0eOsHr1at5++20mTJhgb5Ofn2+/BoCkpCQSEhIqXA7bsWNH/vjjD7Zv385dd91V7ZkkQd0zpENTinrcgQUVaft2c3TndqUlCZxMST4gQ1IOVoNjszlqtbreJ0Usj5YtJ9GkyXVYrcX8u288RmMGWVk7SEv7maysHchy/Z/tKg8RpKAQg9uHMbBtKDuTLpCeV0ywt55rogIUnfkp4Z133uHdd99l7969REdHs3LlSgIDa75CoEuXLvaf4+PjWbJkCRERESQnJwPw0ksvIUkSL730EmfOnCEoKIhhw4bx1ltvYTKZyDe7sfwr2xL6MXffWqrv1z+Yy22j7sNkMvHss89SVFTE+PHjycrKomfPnqxfvx5vb297+5SUlFKzTeHh4axfv57JkyfTsWNHmjVrxsSJE3nuuefsbXbv3s31119vfz1lyhQAHnroIRYvXlzuNbdr144//viDG2+8kREjRvDDDz/UaEZJUDdIksQL91/P8wf+pnPWHlZ/Oo/xHTvjpq9eQL+g/qAJdEftr8OSZcBwIhv3uCYOndeuXTv27NnDwYMHueWWW6q9WtQVkSQ17dp+xK7dt1NUlMJfW/shy5ce3HS6UFrHvEJwsGOxrvUFSRZ54MuQm5uLr68vOTk5+Pj4lDpWXFxMUlKSPTFWQ6IkD9DevXvp3Lmz0nIASDl3jmyTrsp2floDLSqJ9XE1GvJ9pAQmk4k1a9Zwyy232PM51YRPfj/ImUWv42vOo92g4Qwe82gtqhTUJY7cE1krjlLwdxqevcPwv82xxR0Wi4UPPviAwsJCHnjgAaKjo2tTtqKkpCzi6LHyMkTbHsw7tJ/r8kZQZd/fVyJcYAKXxlRhuHjN2gkElfHIgDaciLF9wO/fsIr05BMKKxI4E30b20rb6sQBNVQ3mCxbSDm1sKKjABw5+kaDcocJA0jg0mjLzZld83YCQWVo1SqmPnIbxzxbIslWVsyZgdXacD7wBaXRRfuCWsKSWYw5o8jh80pWgx08eLBBrAYDyM7ehcGQVkkLGYMhlezsqtO41BeEASSwExkZiSzLLuP+AggLCCi7XO5KpIvtBIJaoEsLf4JuugejpCX/1An2rHM8q7mgfqHSadBF2NwkxYcdqw4PtnI5Hh4eFBUV2WMZ6zsGg2PpHxxtVx8QBpDApdFqtbhpKn/C8tIYryruQyC4kv/e2YN9YX0B+HPJYgqyHXeRCOoX9urw1XSDtW1rS2fSUNxgOl1wrbarDwgDqIaI2PG64cKFCxjNFxcrlpM4yUtjpGVI/fuDFPePa+Oj13LvQ/dwzi0IjMX88ul8pSUJnITuYnV4w4kcZJO1itaXaGhuMD+/Huh0oVQ25a7TheHn16PuRDkZYQBVk5KZhsLCQoWVNHysViupRglkGUkFLf20+GkNeGqN+GoMhJglvIr1FGY7PnXtKpTcP2LmynW5tVMzcrvdhhWJM/HbSEqIV1qSwAloQz1Q+bghm6wYknMcPi8iIgJPT0+KiopISkpyosK6QZLUtI4pKf9TvhEUFjoCSar/y/5LUNwAmjdvnn0pcLdu3diyZUuFbVNTU7nvvvto06YNKpWKSZMmldvuhx9+oG3btuh0Otq2bcuKFStqTa9arcbPz4/09HQyMzMpKiqiuLhYbE7Yjp9NxVxsQjYb8ZYL0KjVBHp74y1BkI83VlMeJouRnIwCxbU6uhUVFZGZmUl6ejp+fn4NIodIQ0WSJF58cBCJfh0A+Hn+HExGg8KqBLWNJEmXskJXoyyGSqVqcKvBgoNvpkP7ueh0pVOKqFS2fFinz3xNUdFpJaQ5BUUTIS5btoxJkyYxb948+vbtyyeffMKQIUNITEykRYsWZdobDAaCgoJ48cUX+eijj8rtc/v27YwaNYo33niDO+64gxUrVnD33Xfz119/0bNnz1rRXVJ3Kj294QSDuRp5+XnkmDUgg0Ztwc3Hi6TcXGRZpqioCHd3d0xFhRiKbAZEWtZZ9F6V53xwJfz8/Oz3kcB1CQ/woMeI0ZxffByv7PP8uexbbnrgYaVlCWoZfWt/Cnefo/jIBaClw+e1a9eO3bt3c/DgQW699dYG8UATHHwzQUE3XVwVlo5OF4y3d0f27L2PvLx97Ns/gW5dl6NWV52fzdVRNBFiz5496dq1K/PnX/Kvx8XFcfvttzN9+vRKzx0wYACdO3dmxowZpfaPGjWK3Nxcfv310sqNwYMH4+/vz7fffuuQLkcTKVksFlHryQnk5+UyatlOinM0qD1lvrqjHSEX43xMJhObN2+mf//+aLVaVrzwGYXa9ugNydz+5l2o60EFdq1W2yA+KF2J2kqEWG7fFiuP/N9COh9diSyp+c/7c2jSPLxWxxDUPtW5J6yFJs6+sQNkCH2uBxp/x5KTWq1WPvjgAwoKChg9ejQxMTG1Id0lKSo6w67dt2EyZREWNpK42Ol1Voy7OlQnEaJi3xZGo5H4+HimTZtWav+gQYPYtm1bjfvdvn07kydPLrXv5ptvLmMoXY7BYMBguDS1nZubC9j+gKoycMQXWe0z7pufOJ7WDFll4fGg0zRtepP9mNVqxWw2o1arUavVdL09lt+/NlCsasGfcz9i4JRplfTsGlit1lLFVwVXT8nfqbMeSCY8fBtfv5lAVNFJfpg9g4ffcM0Pf8ElqnVPaEEb7oUpJZ+Cgxl49HA8q3xsbCzx8fHs27ePyMjIGqp1fTSaYGLbfMC+/WNJTf0OL88OhIXdrbSsMlTnM0AxAygjIwOLxULIFeULQkJCSEurLBlT5aSlpVW7z+nTp/Paa6+V2b9+/Xo8PDxqrEVQffYe3s/enM4AxIaep21IKGvWrCnT7vKq7+6WvRSq+nM2MYJVK1eg0tb/qVlBzbj8vqht8tv0xfTPGfKSD/PtnJn4Rbd22liC2sPReyJU1tMMD1L+OsyJ844HvOfn5wO2OCBJkkrVGmyIaN2GoNOt5sjR1/jnn0ys1gilJZWiOguUFPcXXPkUJcvyVT9ZVbfP559/3l7gEmwzQOHh4QwaNKjKKTRB7ZGWlsqziRJYQOdr4Zv7bsXX17dUG5PJxIYNGxg4cKB9Wjs9JpJfPjyFwb051vjfufX1V+tevEBRyrsvapu+15uY9NJJupzbSsY/u7nj4Udw9xafD65Kde8J05l8Lny8n4ACd9rcfC2S2jFDxmq1MmvWLAoKCoiNjaVVK8dqitVXZHkIiQcNZGb+hn/Acrp0/gE3N9dJRFviwXEExQygwMBA1Gp1mZmZ9PT0MjM41SE0NLTafep0OnS6srMGWq1WLFOuQ8b9+DuGnGBkNTzd7EKlFegv/900a9sJP48VZBr7k5nWmaKsdHyCm9WVbIEL4cy/2UCtlrseGs3fHx0ksPgC679czF2TpjplLEHt4eg9oWnhh8pTg7XAjHy2GLeWvlWeU0K7du3YuXMnhw4dsq8Ma8i0b/c+u3bfQWFhEoeP/JfOnT5HpVJ8PgWoXmoRxebq3Nzc6NatW5npyQ0bNtCnT58a99u7d+8yfa5fv/6q+hQ4n9dnzeDgOVugc5fgs0x48OFqnT/0lcfRGrMw6Zqw+s15TlAoEMBtXcO50GU4ACe3/8GpxP0KKxLUFpJKQh9TkhW6ernFSpIiHjp0CLPZXOvaXA2NxpsO7eehVnuQlbWNEyc+VFpSjVDUWTllyhQ+++wzFi1axMGDB5k8eTIpKSk8/vjjgM019eCDD5Y6JyEhgYSEBPLz8zl//jwJCQkkJibaj0+cOJH169fz7rvvcujQId59911+++23CnMGCZTn2LHDfJnXCskKHgEmvn30/mr34R0YSmCo7csot6An547+W9syBQIkSeKFh4dw0MdWBmHFnJlYzGIlaENBV1Idvhr5gADCw8Px8vLCYDBw4sQJZ0hzOby8WhMX+w4AJ1M+IT19ncKKqo+iBtCoUaOYMWMGr7/+Op07d2bz5s2sWbOGiAhbUFVqaiopKSmlzunSpQtdunQhPj6eJUuW0KVLF2655Rb78T59+rB06VI+//xzOnbsyOLFi1m2bFmt5QAS1D5jV+/EnCeBVuKlVibc3d1r1M+tLz2LrjgVs9aL9e/9UMsqBQIbEU086XznaApVekyZqWz58TulJQlqCX2MH0hgSi3Akmt0+DyVSmWfBWooSREdISRkKC3CxwCQePBZCgqOK6yoeigerj5+/HiSk5MxGAzEx8fTv39/+7HFixezadOmUu1lWS6zXVmN96677uLQoUMYjUYOHjzInXfeWQdXIqgJz374IUlptqeuPoEnue/OkTXuy83DneZtbVlK8+XeHN+6vlY0CgRX8ujADhyNugGA3T8tJ/tczVeuClwHtZcb2mZeABQfrd4sUGNzg5UQHf0Mfn7XYLHk8+++8ZjN+UpLchjFDSBB42X3ru18X9AGSQafoGK+fuqxq+5z4JSp6IuOY1W7seWz3bWgUiAoi5tGxZPjRnFK3wzJYubHObNEgdsGgr0sRjWqwwM0b94cb29vDAYDx4/Xr5mQq0Gl0tK+/Wx0biEUFh7j4KHn683fgjCABIrx1NZkrAWATuK99p61kj9DrdHQ5jpbZeYCt2vYs+LLq+5TICiPa6Ka4DngbiyoyDryL4lbK65jKKg/lBhAhqNZyFbHv8hVKhVt29piwxqTGwxA5xZIhw5zkCQt6elrSDm1UGlJDiEMIIEiTPjoI1LTbDlUbgo4wc03D661vq995HE8iveBpOKfnzJrrV+B4EqeGdWPxKAeAKxd+DGGwgKFFQmuFrdwHyS9BmuhGePpvGqde7kbrLGVSfL17UpMzIsAHD/+P7KydiisqGqEASSoE86fP8+TH83knhnz+c+Hs1idbcuiGxhSwGcTn6z18bqNbA6ylUL3Tvz5SfmFcwWCq8XPw41hD91PlsYXCnP5dfEipSUJrhJJLdmCoan+arDmzZvj4+OD0WhsVG6wEpo3u5/Q0NuRZQv79j9FcXGq0pIqRRhAAqfzwIy59Jizk1XnWrEjrQV/pEeDAXCDuX1aOGXMjkNH4GWyxQAd2+aJpREFJQrqlju7R3K+060AHPtzHWePHlZYkeBqsbvBqhkH1JjdYGBLExHb5k28vOIwmS6wb/9TWK2Gqk9UCGEACZzKAzPmsjktEvmKvwEZkI0wZ7vjNXeqy3Xj+6GyGCl2b8Xa/73ltHEEjRtJkpj2yHCOeLdGAn6cPQOrxaK0LMFVUGIAGU/nYSmoniurxA12+PDhRucGA1Cr3enQfi4ajQ+5uXs5cvRtpSVViDCABE7j/PnzbMmKBODKSmwlr//KiuT8+fNOGT+ye1+81TsBSD3SCkOB4zViBILqEBXoSdvb7qdY5Ybh3Cm2/7JSaUmCq0Dtq0Mb6gGyLRi6OjRv3hxfX1+MRiPHjh1zkkLXxsMjgnZtbdmhz5z5mtTUHxVWVD7CABI4jde+XgKGssZPCRIgGy62cxKDn7sHtSkfgz6MVa+/67RxBILHh3TiSIvrANj+3dfkZWYorEhwNehaX8wKXU03mCRJjdoNVkJg4PVERT4NwKHDL5GX53rvhTCABE4jQ3Kr1XY1ITCqNf7eNjdb5vmuZKeedNpYgsaNTqPm8XH3cVYXimQ28uO8OUpLElwF+jaX8gFVZzk8CDdYCVFRT9GkyQCsVgP/7puAyZSttKRSCANI4DQCZcdSyTvarqbc+spTaA0XMLn58+tbC5w6lqBx07tVEG79R2JBRcb+3Rze6fpLgQXlo4vwQXJTYc03YUqtXnqDZs2a4evri8lkarRuMABJUtGu7Ye461tQXHyKA4lTkGWr0rLsCANI4DT+7/77QFPxcRmQdBfbORHPgECCm9sK5uYU9+JsovMCrwWCZ+69nkNNugCw+pO5mIqLFVYkqAmSRoUu2g+omRusMdYGKw+t1pcOHeaiUunIzPyTpKRZyLKFrKwdpKX9TFbWDmRZmUUDwgASOI1nvlqGfHH1+ZUTyCWvr/VPJigoyOlahr70HLri01g0Hvz20S9OH0/QeAnwdGPwAw+Sq/FGzs9i3dciG3l9xe4GO3yh2ude7gYzGp07y+3qeHu3JbbNmwAkJc9my1892bN3NAcSJ7Nn72i2buuvSDV5YQAJnMJ/Z8zij4woJEDnb0bSlT6u0kH/0GS+mjShTvRodTpadEoHIF/qzaE/V9XJuILGycheLUlrNwSAQ7/9QnryCYUVCWqC/mIgtDElF2tx9XKJNW3aFD8/v0bvBishLOxOAgJsxc5NptIzagbDOfbtn1DnRpAwgAS1zkcLP+P7zGgkK7g3MbHhno7sevIabg05Rq/QFG4NOcbOJ6+pM+OnhJsmTsG96CiySsuOz/fX6diCxoUkSTw77k5OeLZEkmW+mzUD2eo6sQ8Cx9AE6NEEuYMVDMeyq3WuWA1WGlm2UFBwpKKjABw5+kadusOEASSoVX78dQ2zT4eBCTQ+Mp/28KZFRBRBQUHMmTyRpZOeYM7kiXXi9roSlUpF3E1qAAp03dm1XJQtEDiP6CAvooffj1HSUnzmBDvXrVFakqAG1LQ6PFxygx05cqTRu8Gys3dhMKRV0kLGYEglO3tXnWkSBpCg1vgncT/P7bFgLQLJHV4Oz6DfgBuVllWK3g+MxbM4ASQV+1bnKy1H0MAZP7QbR5tfC8CWbxZTkF39L1GBstgNoMNZyHL1lsNf7gY7evSoM+TVGwyG9FptVxsIA0hQK1zIyWb0qqOY8lSglRjX5DgPPfCw0rLKpcd9rUC2UOTeno1z3ldajqABo9eqGTPuftLdApFMxaz4eL7SkgTVRNfSFzQqLDkGzOmF1TpXrAa7hE4XXKvtagNhAAmuGqvFwuDP1pF/wQ1ZBbc1OcwLTz6ttKwKaTdoON5m2zRr0i5/zKbGPTUtcC5924RA37uQgXN7t3EiYY/SkgTVQNKqbUYQ1a8OD8INVoKfXw90ulAqqw2g04Xh59ejzjQJA0hw1dw862vSz3shA/1Ck5k5abLSkqpkwFM3oLIYKHaP4tfprlusT9AwePb+gRwO6AjAynmzMTfiL8L6yNXEAYWFheHv74/ZbObIkYqCgBs+kqSmdcwrJa+uPApA65iXkSR1nWkSBpDgqhj10cccPRcIQNvwc3z9dN2u7KopLTr3wkfzNwBpJ9pQnJutrCBBg6aJl44bRz9MvtoDa855flvqvPp3gtqnJB+QISkHq7F6q5SEG+wSwcE306H9XHS6kFL7dbpQOrSfS3DwzXWqRxhAghrz5My57EgPByCsWS4rHrpHYUXVY8jzD6Ex5WHUh/DL6yIWSOBcRvWNITVuMAD71qwg88wphRUJHEUT6I7aXwcWGcOJnGqfX2IAHT16FIPBUNvy6hXBwTfTt89munb5hnZtP6Jrl2/o2+fPOjd+QBhAghry1sLPWJUeiSSDd7CBFbf1Ru/lobSsahHQIooAP1s8xoUL3cg6dVxhRYKGjCRJTH30LlI8WqCSLbbcQNVcVSRQBkmSLlsNVv2s0KGhoQQEBGA2mxv9ajCwucP8/XsRGjocf/9eder2uhxhAAmqzberV/HZyTCwgJu/hYXd/QltEam0rBpx6/9Nws2QgdnNl1+nL1ZajqCBExPiQ4uh92OW1BQkH2bPxt+UliRwkJKs0DWJAxJuMNdEGECCarFr/z5eigfZCCoveKt5Ftf0v15pWTXG3cefkAhbYGKusRen/hHVuwXOZcJtPTnStDcAG7/4jKL8PIUVCRxB18oX1BKWzGLMGUXVPl+4wVwPYQAJHOZc1gUe+OUElkIJdBJP+h5h5OiHlJZ11Qx94Tl0xSlYNO78MXuD0nIEDRy9Vs2D4x4iU+uPylDAT59+orQkgQOodBp0ET5AzWaBQkJCaNKkSaNfDeZKCANI4BBms4WbF/xBcY4GWSNxj98Bpjzl+svdHUHtpqVlN9sHWr6qJwd/+0lZQYIGz3VxYZh7jQDg7N+bOHlA1KarD9irw9fQDSZqg7kWwgASOMT1M5eSfUGPLMHNwUd4Z/IzSkuqVW54ajLuRYeQVRr+/loEKQqczzMPDeGIr+0L8cc5M7GYTQorElSF7mIckOF4NrKp+sVtL3eDFRcX16o2QfURBpCgSoZ/uJBT5/0A6N78NJ8+PUlRPc6i/S2eABTou7Hj608VViNo6AR56+g/+mGKVHqsF1L54/vvlZYkqAJtqAcqHzdkkxVDcvWXw5e4wSwWi3CDuQDCABJUyiMzPuHf9FAAolpksuQ/DyqsyHlcM+ohPA22ZfGJG0zI1uo/4QkE1eHefnGcaX0TAHtXLiMnvbJq2QKlKb0c/upWg+3atYt9+/aRlJSEVXzWKIJGaQEC1yG/sIDXVy4jtdBMmIcGKdfKxnPNAWjStIBlw65D5+GusErn0uvBdmz81kyRexy/zXyPgZOfU1qSoAGjUklMfPw+Pp22h2bFZ1k6cyaPvvk2klRRvSSB0uhb+1O4+1yN4oAA3N1tn6GnTp3i1ClbMkwfHx8GDx5sjxES1A1iBkgAwJjPF9D+3U0s/yeELUebsfyfEJYmhYEM7kEmPu0SRHB4hNIynU7s9UPwsu4EICUhBLNYripwMrFhPoQOuR8LKvKP7WPfX1uUliSoBH0rP5DAnF6IObt6cTyJiYmsW7euzP7c3FyWL19OYmJiLakUOIIwgASM+XwBvx1uinzFd70EyEBH9zN061d/c/1UlxsnD0FtLqLYvQWr3xaFUgXO56k7+3I0zFYFe93CjzEUFiqsSFARKg8tbi0uLoevhhvMarWydu3aStusXbtWuMPqEGEANXLyCwv4PbkpULY+bwk7z0WSX1hQd6IUplm7bvjqbbNA6SltKcw6r7AiQUPH3U3NvWMfIVvji6ool58Xfqa0JEEl1KQ6/MmTJ8nNza20TW5uLidPnrwqbQLHEQZQI+e1H5eCoWLjRwJkw8V2jYghL41DY8rFqAvil9dnKi1H0Ai4oX0ziq+5HYCTf23g7FGxSshVsVeHP5aNbHFsxiY/P79W2wmuHmEANXJOXTDWaruGgl9oc5o02QtAdm4PMpIOKaxI0Bh45pFhnPBpjYTM8lkfYbValJYkKAdtUy9UnhpkgwXjScdKmXh5edVqO8HVIwygRk6A0THDJtDBdg2JYa9Mxa34HGatN2vfXaK0HEEjINhbzzX3PIxB5YYl/RSbf/pJaUmCcpBUEvqY6rnBIiIi8PHxqbLd2bNnRRxQHSEMoEbMkfQsNhVXvrJLBiQd3GrU140oF0Ln5UPTmBMA5Fl6c3L3ZoUVCRoDD1zfgVPRtkUHu35YQt6FDIUVCcpD1+ZidfjDFxxqr1KpGDx4cJXtNmzYwNdff01eniiS62yEAdRIeWf1n9w8exuF+Vpklc3Qka9oU/J6YEA61028v44VugaDn3sOfVEyVrWOTfOEASRwPiqVxFNPPECaLgSV2cCyWbOVliQoB32MHwCm1AIsuY7NkLdt25a77767zEyQj48Pd999N8OGDUOr1XLixAnmzZvHoUPC9e5MRCLERkax0czQuSs4fs4DAMlHYrT3fjKsIay7EAiXLYVX6WBQQAYjzhfh7umpkGJlUWs0RPfO50ACFGh68u/q7+g4dKTSsgQNnLbN/Ghy831Yf55BzsF4Du7cQdw1vZSWJbgMtZcb2uZemE7nU3w0C89uIQ6d17ZtW2JjYzl58iT5+fl4eXkRERGBSmWbj2jRogU//PADaWlpLF26lO7duzNo0CDc3NyceTmNEjED1IjYfTqDTu+ssRs//uFFvGD5m7eeepYR5wtYWWBldMgFrm+ayeiQC/xUYGXE+QIGvTleYeXKMuDxp3EvOoCsUhP/XYrScgSNhKdHXsex4K4ArP5kLiaDKJ7patRkOTzY3GFRUVF06NCBqKgou/EDEBQUxNixY+nduzcAu3fvZsGCBaSliTIptY0wgBoBsizz8qqt3DXvbwyFamStRI+YJD7yLmDcy68BMOjN8bR+7QZuNBq592weNxqNtH7thkZv/JTQ6bYAkK0U6ruwdfE8peUIGgEebhpGjh1DntoLKT+LVYu/UFqS4ApKDCDD0Sxk65VBBDVHo9Fw880388ADD+Dl5cX58+dZsGABO3bsQJZrb5zGjjCAGjjZRUau/XAlX/2VDVZQB0g8EribeQOHMeDBh0q1dff05IbnxjDonQnc8NyYRuv2Ko9ud47G02QrlHr4DxUWs1lhRYLGwE2dWpDfbRgAx/5YzbmTycoKEpTCLdwHSa/GWmjGeLr2g5ajo6N54oknaN26NRaLhbVr1/LNN9+IXEG1hDCAGjC/H02l+7vrOHNeiyxBSMtcXsz7i1eefpmgFg2/rldtc+1/uiJZTRS5t+a3j/6ntBxBI+GZcSM46dUSlWxl2UcfIosl0i6DpL5sOXwNqsM7gqenJ/feey9Dhw5Fo9Fw7Ngx5s2bx5EjIlHm1aK4ATRv3jyioqLQ6/V069aNLVsqLwT4559/0q1bN/R6PS1btuTjjz8udXzx4sVIklRmKy5uPP5zq1Vm4o/bGLNoD+ZiFbJexYA2h3ilII1H3hCVpmtKq3434Y2tRMapA80xFYl6TQLnE+Kjp8uo/2CUtJhST7B1zWqlJQkuw+4Gq2F1eEeQJIkePXrw6KOPEhISQmFhIUuWLGHNmjWYTCanjdvQUdQAWrZsGZMmTeLFF19k79699OvXjyFDhpCSUn6gaVJSErfccgv9+vVj7969vPDCCzz99NP88MMPpdr5+PiQmppaatPrG0cem9ScYq55fxUrd2aBDG4hMhP8d/BKx34MnTxZaXn1noFTb0dtLsSgb86qN99RWo6gkfDgTZ05FdUPgG1Lv6QwJ1tZQQI7JQaQ8XQelgLnGiPBwcGMHTuWnj17ArBz504WLFjAuXPnnDpuQ0VRA+jDDz9kzJgxjB07lri4OGbMmEF4eDjz588vt/3HH39MixYtmDFjBnFxcYwdO5ZHHnmE999/v1Q7SZIIDQ0ttTUGvv83hb7v/0bGBRWySiKiTQbPn9vG5CdeILrrNUrLaxCEtumAr7ttFuj82Q7kZaQqrEjQGFCrJJ4Y/zDn3QJRm4pYNneu0pIEF1H76tCGeoAMhmPOmwUqQavVMmTIEEaPHo2npyfp6eksWLCAv//+WwRIVxPF8gAZjUbi4+OZNm1aqf2DBg1i27Zt5Z6zfft2Bg0aVGrfzTffzMKFCzGZTGi1WsBWTC4iIgKLxULnzp1544036NKlS4VaDAYDBsOlBDglFXtNJlO9mF40mq2M/3Enf+7LBSTwUnNL+B5uPGHmtjdsq7zqw3U4Qsl1KHk9Nz8/ju9f2olJ14RVr8/lrg/+TzEtAhuucF84m9hQb7xvGIW8di4X/tnOwd27aNWps9KyXJa6vCe0rXwxpRVSeDATbVt/p48HEBkZydixY1m1ahXHjx/n119/5ejRo9x66614NuIFLNX5fStmAGVkZGCxWAgJKZ08KiQkpMJ8B2lpaeW2N5vNZGRkEBYWRmxsLIsXL6ZDhw7k5uYyc+ZM+vbtyz///ENMTEy5/U6fPp3XXnutzP7169fj4eFRwyusG9KKYNZRiYICNQDu4RYeN24nIMMHbdd2rFmzRmGFzmHDhg2Kjq/33I7JdAs5Bdfw89cL0QSEKapHYEPp+8LZxPjCb37taJN9gBWzZ9D2thFIarXSslyaurgnvHM0tMaHvAPpbNUfgToMs/T29qZ58+acOXOGY8eOMWfOHIfrjjVECgsdj81UPBP0lQG5sixXGqRbXvvL9/fq1YtevS5lTO3bty9du3Zl9uzZzJo1q9w+n3/+eaZMmWJ/nZubS3h4OIMGDXLpm+iznSf435pjyBaQtRJxbU4z+t9khj87CQ/funkKqWtMJhMbNmxg4MCB9hk/JTBedx3fTlqNQR9G4Y5U7pkzRjEtAte5L+oCz/B2xH/0Ap7FOZCVxS0PPqi0JJekLu8J2Wzl/PTdaI0wsMt1aJvW/QzMuXPn+Omnn8jIyOD48eP07NmTAQMGoNEo/jVfp5R4cBxBsXcmMDAQtVpdZrYnPT29zCxPCaGhoeW212g0NGnSpNxzVCoVPXr04OjRoxVq0el06HS6Mvu1Wq1LfpgWGMzc//VW9h69mAvCX82IsB30SDBx7/tvKyuujlD6d6P186NZXAonksLIt/YmZfdmonvfqJgegQ2l74u6YGiPVmzsdAuee77n6IafyR18M02aNVdalstSJ/eEFnTRfhQfvID5RB4eEX7OHa8cmjdvzmOPPcb69evZtWsXf//9NydPnmTEiBEEBQXVuR6lqM7vWrEgaDc3N7p161ZmenLDhg306dOn3HN69+5dpv369evp3r17hRctyzIJCQmEhTUMF8XulCy6/28de4/mIwM+LQ08p93CbYRz7/tvKS2vUTFo6jPoi45jVbvx14KdSssRNCKmPnY3pz3CUckWlsz4SAS/ugD6NiVlMRyrDu8MtFotQ4cO5d5778XDw4O0tDQ++eQTdu/eLe6RclB0FdiUKVP47LPPWLRoEQcPHmTy5MmkpKTw+OOPAzbX1IOXTe8+/vjjnDx5kilTpnDw4EEWLVrEwoUL+e9//2tv89prr7Fu3TpOnDhBQkICY8aMISEhwd5nfUWWZd7+LZG75m+jqABknYounY7z3JG93HHHw1z3oHDB1DVqjYbW/W0Bd/naHiSs/FZhRYLGQlM/D9rd9R/MkhpjymH+/q1hxz7VB0oSIhpP5mItVjZTfJs2bXjiiSeIjo7GbDazatUqli5dSkFBgaK6XA1FDaBRo0YxY8YMXn/9dTp37szmzZtZs2YNERG2LMWpqamlcgJFRUWxZs0aNm3aZF/dNWvWLEaMGGFvk52dzaOPPkpcXByDBg3izJkzbN68mWuuqb/LwDPyihk07w8+/S0JZFAFq3kgegsj/zrDve++SmhU+cHdAufTb8x4PIr2gaRi74+iWKGg7vjPkB6ktOgLwOavFlIsyiMoiqaJO5pAd7CC4Vi20nLw9vZm9OjRDBo0CJVKxeHDh/n44485ceKE0tJcBkkW82JlyM3NxdfXl5ycHMWDoH8/nM7jS3ZhMoCsgqDW+TyW+S8h+DB86nOKalMCk8nEmjVruOWWW1wm1uOfX5bz16oAkFR06Laf/uOeVlpSo8MV74u64J/kTJa/NIkAUxZB3a/jwWeeUVqSy6DEPZH9y3Hyt57F85pQ/O90nQfT1NRUfvjhBzIyMgDo06cPN9xwQ4MMkK7O97fipTAE5WO2WPnvygTGfH7R+PFU07dzIlP3J3LddUMapfHjqnQadjdepl0AHP3LXRRKFdQZnSKb4D5gFADnd/9J0oH9Citq3JRkhS4+nOVSMTdhYWE8+uijdOvWDYBt27axcOFCu0HUWBEGkAty6kIB/WZu5PvtZwDQNFMxNuI3bvk9kxFvPkfr7tcqrFBwJf0e643KYqTYPZp174kSGYK6Y9IDg0kKaAfAD7NnCgNcQXQtfUGjwpJjwJzuWrUC3dzcGDZsGKNGjcLd3Z3U1FQ++eQT9uzZ41LGWl0iDCAXY/ne0wz4cBOp6QZkjUSzDlm8VLyFNkf03P/JO7jpXTsxY2OlZc8BeKv+BuDs4SgMBXkKKxI0Frx0GoY8MpYilR4pK5V1y5crLanRImnVNiMI51WHv1ri4uJ44okniIqKwmQy8fPPP/Pdd99RVFSktLQ6RxhALkKR0cKYb3fx7LJ/sJhB9tVwU+fdPLX3OO3iunH3m28qLVFQBTc/Owq1KR+DPoxVb7yntBxBI2Jojxiy2t0MwP5fviNbFMdUDLsbzInV4a8WHx8fHnjgAW666SZUKhWJiYnMnz+f5ORkAKxWK0lJSezbt4+kpCSsVquygp1Ew4uAqoccTM3lvi92kJVtQgb0UfCIfi3N1nlwy/Sn8AlsHMVc6ztB0bH4ey8ho3gAmemdyDl3Bt+QZkrLEjQSJk8YzYzJuwgrOss3Mz5i/NvTK82qL3AO+jb+5KwCQ1IOVqMFlZtrlipRqVRce+21REVF8cMPP3DhwgUWL15MXFwcp0+fJi/v0iy2j48PgwcPpm3btgoqrn3EDFAdYjCbmLX9L6b8uo5Z2/+i2GRk/l/HuWX2Fpvx46aiVdc0XsrZStN4FfcveEsYP/WMW195Cq3hAiY3f9a8+bHScgSNiOb+HsTc8TAWVBSf2M+ezZuVltQo0QS6o/bXgUXGcCJHaTlV0qxZMx577DF7wfCDBw+WMn7AtrJq+fLlJCYmKiHRaQgDqI54YcNvxL6xgQ9X5vDjn2Y+XJlD7P9t4N1Vh5CtIAdqGdbpLx7beZawwKY8MOsDpSULaoBnQBDBzWwrcXKKepJ6MEFZQYJGxZhbe5HSvCcAvy36BGORawXiNgYkSbpsNZhyWaGrg06nY9iwYbi7u1fabu3atQ3KHSYMoDrghQ2/8c3vBqyGKyLtrSADmjCJSYG/0PtXDX0fu52bHnlSEZ2C2mHoS9PQFZ/GovHgtw9XKi1H0IjQqFU8MmEcORofNMW5fPfpZ0pLapToWwcArh0HdCUnT56sMhA6NzeXkydP1pEi5yMMICdjMJv49i8DABV5480XZHx2qLnnk5dpFtOh7sQJnIJWr6dFh1QA8qReHNm8VmFFgsZE15bBaK69C4DUbRs4deSIwooaH7pWvqCWsGQWY86oH6ur8h3MJJ6VVX+MuqoQBpCTmbttK7KhYuNHAjBAzn23o1aLmPSGwo0Tp+JedBRZpWXb5/8oLUfQyJj0n2Gk+LVGQmb5zI+wWi1KS2pUqHQadBG2LMT1ZRbIy8vLoXa//vorv//+u8MGkysjDCAnE5/o2HSho+0E9QO1RkPsDbafC9y6Ef/9l8oKEjQqfPRabnxoHAbJDTJO8dsPK5SW1Oi4VB2+fhhAERERVZeOUKkwmUxs2bKFjz76iF9++YXMzMw6Ulj7CAPIyfgW5tZqO0H9oc9Dj+FRnACSin9/yVZajqCRMax3LJlxNwGQsGIJeZmNu+xBXaO7GAdkOJ6NbHL9wGGVSsXgwYMrbTNixAhGjRpFs2bNsFgsxMfHM2fOHJYvX87Zs2frSGntIQwgJ3NNajrobMHO5SEDku5iO0GDo8c9kSBbKHRvzx/zPlJajqARIUkST094kHR9CGqLka9mzlJaUqNCG+qBytsN2WTFkOz6y+EB2rZty913311mJsjHx4e7776bdu3aERcXx9ixY3n44YeJiYlBlmUSExP59NNP+eKLLzh+/Hi9Ka0hgk6cTGw7iWvyTvL3mQibsXPZsZJbpEfgSWK9RcKyhkj7wXcS/91b5Gt7c+JvH/o/akbdACswC1yTiEAvIoc/SP7y9yk6vId/t++gY+9eSstqFJQshy+MP0fx4Sz0Mf5KS3KItm3bEhsby8mTJ8nPz8fLy4uIiAhUqkvzJZIkERkZSWRkJOfOnWPr1q32rNFJSUmEhobSt29f2rZti1rtmokgQcwAOZ3u9z7Pnf+coluzJCRd6WMqHXRrlsSd/5yi+73PKyNQ4HSun3A9KouBYvcofp3+ttJyBI2Msbf341SYrQr4r5/OxWQoVlhR46G+xQGVoFKpiIqKokOHDkRFRZUyfq4kJCSEO++8k4kTJ9KzZ0+0Wi1paWn88MMPzJ49m507d2IymUqd4yqlNsSjqJPR6Nxp3iGLe/dC92bZJDb1IE+lx9taTNvzhcTsLSCsUxYaXeUJqAT1lxZd++CjeZVsuT+px2MozstG7+2ntCxBI0GrVnH/hMdY838H8S7M4oeFi7ln/ONKy2oU6Fv5gQTm9ELM2cVo/PRKS3Iafn5+DBkyhOuuu46dO3eyc+dOsrOzWbNmDZs2baJnz5706NGD5ORk1q5dS27upbhXpUptiBmgOuDaiR8T1imLfmu/ZeT2k9z3z1lGbj9Jv7XfEtYpi2snipIJDZ3Bz41GY8rDqA9h1esiy7egbrkmJgypzx0AnNq8hrPJSQorahyoPLS4tahfy+GvFg8PDwYMGMCkSZMYMmQIfn5+FBYW8scff/DBBx+wfPnyUsYPKFdqQxhAdcS1Ez+m91+7Cb/Vj9DWZwi/1Y/ef+0Wxk8joUlkDP6+8QBkZnYl62yysoIEjY5JY0Zw2qclKtnKtx9+iNyAShq4MpfKYjQOA6gENzc3evbsyVNPPcWIESMIDg7GYqk8H1Vdl9oQBlAdotG503X0a1z3zOd0Hf2acHs1Moa9Mgk3QwZmN19+fWuR0nIEjQxfdy39HxyHSdLAuST+WLVaaUmNghIDyHAsG9nS+IxOtVpNhw4dGDJkSJVt67rUhjCABII6wt0vgJAWhwDINfTkzL5dCisSNDZuv7Y952MGALBr2ZcU5GQrqqcxoG3mhcpTg2ywYDyZV/UJDRRHM0fXZYZpYQAJBHXILS88h64oBYvGIFPCsAAAJfdJREFUnd9nihphgrpFkiSefvoRMt2aoDEX8dWsOUpLavBIKsm+BL6xxAGVh6OlNhxtVxsIA0ggqEM0Oh2RXW0ZefNVPTm08ReFFQkaGxFBPjQd+gAyULB/B4nxe5SW1ODRtSmpDn9BYSXK4UipDR8fHyIiIupIkTCABII656aJ/8W96BCySsOOLw8pLUfQCHls5A2cDu4MwC/zZ2G+Ik+LoHbRx/gBYDpbgCXPqKwYhXCk1MbgwYMrzTlU2wgDSCBQgPaDbflACvTd2PntQoXVCBobWrWKeyY8RoHaHU1eBisWf6W0pAaN2ssNbTOba6cxu8GqKrVR13mARCJEgUABrrn3EQ6se59CfVf2ry3mmnuVViRobPSKDefXHsNhxzKSfl/JuSGDCGneXGlZDRZ9G39MZ/IpPpKFZ7cQpeUohiOlNuoKMQMkEChEr/vbIFnNFLnH8dvM95WWI2iETH50FGle4ahlC998+GG9KWJZH7Evhz+ahWxt3O9zdUptOFWHIqMKBALibhqGl3UnACf3BGI2GBRWJGhs+Hm6cc3oRzFLauQzR/hr3QalJTVY3MJ9kPRqrIVmjKcb73J4V0IYQAKBgtww8WbU5iKK3Vuw5u13lJYjaITcdX1nzre8FoCt3yykKF98OTsDSX3ZcvhGlhXaVREGkECgIM079MBH9zcA51JiKcpuvMtkBcogSRLjnx5HttYPrbGAr+fMV1pSg8XuBmvEgdCuhDCABAKFGfLSGDSmXIy6IH55/SOl5QgaIS1D/QgaPBqAnL2bObJvn8KKGiYlBpDxdB6WApF6QGmEASQQKIx/WARNAmyFUrNyunMh5ZjCigSNkcfvuZnTge2QgBWzZ2KtonCloPqofXVoQz1ABsMxMQukNMIAEghcgFtfmYpb8TnMWm9+nS5ysgjqHjeNihGPP0GRSocmJ42V3yxVWlKDRNf6YlZoEQekOMIAEghcAL23H2EtbTM/ueZepOzZrrAiQWPk2g6RmLoOBeDIr9+TmXZOYUUNjxI3WFFiJgV70yk+nt3ol8UrhTCABAIXYcgLz6MvSsaq1vHH3I1KyxE0UiY9cR/pHk3RWE18+ZGISattrBdjf+RiC1nLDpOxYB9p7+6kaH+GwsoaH8IAEghcBLVGQ8ueuQAUqK9h/9ofFVYkaIz4e+npcs9YLKiwJu9n+++blJbUYCjan8GFb8vW/7PkGMn8+qAwguoYYQAJBC7E9eMn4V50AFmlZtfSJKXlCBopowb1ID2yFwCbvvwUQ1GhworqP7JVJvuX45W2yf7lhEu4w2SrTPHxbAoTGraLTtQCEwhcjE7DfNmxwUqhvgvbvviEPg89prQkQSNDkiQeffoxvnl2Pz7FuXw9bwFjpk5UWla9xpCUgyWn8krwlhwD5z/7F22IJ2pPLaqSzUOL2sv2v8pTg6R23txF0f4Msn85Xkqr2tcNv2HRuLcPrJUxZKuMISkHa54RlbcbuihfJJVUK31XB2EACQQuRre7HmTf6ncp0PXg0EaZnqPNqDXiT1VQt7Ru1gS/m+7BuvZTLuz8jROHhtAytrXSsuot1rzKjZ8SjCdyMZ7IrbSNpFej8tTajCSPS4aSzWjSXPFai6RTI0lVGxhF+zPI/Ppgmf0lLrom98ddtRFUFwaWo4hPVYHABen7n85s+NpEkXtrNs78gIFTn1NakqARMv6BobywcxNNLxzhu5kf8szcuahUaqVl1UtU3m4OtfPsFYbKXYO10IQ134Sl0IS1wIy1wIS10ASyLYDaUmzBklns2OBqyTaLVIGBpPLUIuk1ZP1UeQ6y7F9OoG/bpMazNXVhYFUHYQAJBC5ITP+b2fHV6+RyLSf3hWE2GNDodErLEjQydBo1wx8bz9Z3nkV34TSrlv3I8HtHKi2rXqKL8kXt61apG0ztq8NveHSFBoZslbEWmW3GUYFtsxRcZiCVvL7suGy0gkXGmmd0eBaqIiw5BtLn7kXto0PSqJDUEmhUtp/t2+X7JPt+WZLIWelcA6u6CANIIHBRbpoyjJUfnMGgb84vb0znjjdfVVqSoBFyXedW/N5pELqEVST+8i39B16PX2DduioaApJKwm9YdLkzICX4DWtZ6Ze/pJJQX5y5IcixcWWTBctlBpK10IQl33SFEWXGnFmENbdqA8l0pgDTmQLHBq8mlhwDhqQc9NF+Tun/SoQBJBC4KGFxXfDV/8gF8/WcP9OOggvn8Qxw8FNPIKhFnn7yIT58cidNitNZ/NEsJr31utKS6iXu7QNpcn9cOTEwOvyGtXSK+0fSqtH4qcGv8hnk4uPZZCyougac1/XhaP31yBYrsrlkk5HNVrji9eX7zDlGLBlFVfZ/tbNU1UEYQAKBCzP0lSdYOm07Jl0Tfn51JqFtAsg9l4dPiDd9H3kcN3cPpSUKGgGB3u60u3sMZ798B47t4a8Nv5O8eQNFF/JwD/DmjmdfxNPbW2mZ9QL39oFYwt3Y9L+PIV8GL4kB4x/H3ddHUV0lLjpzjpHy5qBkQOOrw3dgRI1cVI4aWI7GStUGwgASCFwYn+CmNAn6h7ScAVwwDODCvovLX9Ph6IRfaRqVyK0vv6yoRkHj4L5b+vDsxu6Ent7F35/NwPaVCLkZ8Mm4MfiGhDBm5mxFNdYHFk58ipxz55DlS7mVjjy2W/H3T1JJFLYx4/a3jAylVo3Jsu13XdjGVOP4HF2UL1Y9SEVyuSvSZFlG9pDQRfnWqP+aoHgixHnz5hEVFYVer6dbt25s2bKl0vZ//vkn3bp1Q6/X07JlSz7++OMybX744Qfatm2LTqejbdu2rFixwlnyBQKno/VQgyyDVPrP1aT14+TpPqx64w2FlAkaE5Ik0aq4pDZY6cR4slxIdloSCyc+VffC6hELJz5FdlpSKeMHXOP9s1ot/Pz9+2xN/4kiS16pY4WWPLam/8TPP7yP1Wqx75dlGavFgtloxFRcjKGwkKL8PApzcyjIziIvM4Pc8+lkp6WSefY0O06ttJ93OSWvd5z6GRmrk6/0EorOAC1btoxJkyYxb948+vbtyyeffMKQIUNITEykRYsWZdonJSVxyy23MG7cOL7++mu2bt3K+PHjCQoKYsSIEQBs376dUaNG8cYbb3DHHXewYsUK7r77bv766y969uxZ15coEFwVxqJC0k62B205ByUJZJmzSXEYiwqFO0zgVAry8ijIrLxUQ05aGicT9+PuYbsXZavty0yWZZBlZGTbMm7Ziixz2b4r9iNfPMe2z9aOKvuwjyOD2Wwm7+RxjmzfgkqlKt3HxS9c2Wq9rD/ZNq718n5ku/5L41nt7WV7G/mSlsvOvdQnGA3FZKedrvT9y047xZo5M1Fr1LbzrVbbJstYL/u5ZL/VarW9P1b5sp9L9pdci+Xi/9bL/rdeuqaLP5uKi7BaTJwpPMLZwqME6pvjrvaiyJJPRvFpLr57zBh958X3xPZ7qS5Wq5WuTW7EQ3PJ5VdoyWNv5u+cKTzCib3xtOp2TbX7rQmSfKUpVof07NmTrl27Mn/+fPu+uLg4br/9dqZPn16m/XPPPcfPP//MwYOXougff/xx/vnnH7Zvt1XPHjVqFLm5ufz666/2NoMHD8bf359vv/22XB0GgwGDwWB/nZubS3h4OBkZGfj4KOuXFZTGZDKxYcMGBg4ciFZbnlXQsNj8ySwO7e9SZTuNMQdJNlfcwIEkaMCVD/aUGwxQJXWd0bX649X4Q8/R97H0STUdzaXGMlnSMBT94rT+BQ0N6eKmuvi/DJgvHpEqNLACI9tw35vv1HjU3NxcAgMDycnJqfL7W7EZIKPRSHx8PNOmTSu1f9CgQWzbtq3cc7Zv386gQYNK7bv55ptZuHAhJpMJrVbL9u3bmTx5cpk2M2bMqFDL9OnTee2118rsX79+PR4e4qnaFdmwYYPSEuqE3GNngKoNILNb3fnNBY0Tq3zGwZZuIF3+cHLxi1Cy/SzZ91X0/2VGnFTe/suNvHL2X3ZO1WNRSlvZvisZWyq7X6pkDKs1G9mcQlVI2mhU6qCLfZW8dxf/ly+OIkkgX3adEhdfX9QhXdb2imuQLuvH9s/22iRnYzKW/917OXrtAPT42nqTKfW/ZNckX4yvufioIVspVBeQb/7j4l6Z88Wnyu2/ILuQNWvWVKmjIgoLHa9bp5gBlJGRgcViISQkpNT+kJAQ0tLSyj0nLS2t3PZms5mMjAzCwsIqbFNRnwDPP/88U6ZMsb8umQEaNGiQmAFyMRrdDNCpY+Tur7pdkMdGwtqHVdHKwXmPWphEqHiipPLOazq01Wrl9JnTNG/WHJUz6iTVaObnEiqpqvfeibNEtdR14tYDZDuQ/sXLL5SwbleUzJAu/08u836WK1GSKjkol27DFV1KtnvibGoqTZs2RSVJpc6RLhNUdtKzHH3l3lKXt5EvszHKv7aULenkOVDs3cu3gMib2pSyu0qChmXp8uBkqdSxUm+yZH+nbdd6+fVcdtxmANkuLvn3g2Qne4GcX7E4yRt9xClaDmpeIsz2fkqXGVeXvQfSZe/FsTVb4HjV/QdFteCWW26puE0V5OZWXkbkchRfBXZlNLgslx8hXln7K/dXt0+dToeunCy7Wq22UXzJ1kcay++m35gnOD7hV0xav/K/hGUZrSmL2z96oVHHAJlMJtasWUOvW25pFPeFEnS8LY9Pxo0pE8B7OZLkwf3vv+sSS+JL7onBLnJPFAx17P0b/c5Hirx/RX3uYtETH1Ns+KPCNnq37tz3wuO4e3pWu/8enW92qP9bn3r8qn5f1TlXsVVggYGBqNXqMjMz6enpZWZwSggNDS23vUajoUmTJpW2qahPgcCVcXP3oGlUou3FleF6F183jTrYqI0fQd3g6e2NbxWfo74hIS5h/Lgirv7+uXt64heeg9bjVpC8Sh+UvNB63IpfeE6NjJ+66L8mKGYAubm50a1btzKxHBs2bKBPnz7lntO7d+8y7devX0/37t3tVl9FbSrqUyBwdW59+WUimm9Da8outV9ryiKi+TaRB0hQZ4yZORu/0CgkqbTBLUke+IVGiTxAVeDq79/ot16nSdOzeLmPQOs1Eq3nLWi9RuLlfidNmp5l9FVmAHd2/9VFURfYlClTeOCBB+jevTu9e/fm008/JSUlhccffxywxeacOXOGL7/8ErCt+JozZw5Tpkxh3LhxbN++nYULF5Za3TVx4kT69+/Pu+++y2233cbKlSv57bff+OuvvxS5RoGgNrj15ZcxFhWyddHHV2SCvktpaYJGxpiZsynIy2PF/94SmaBrgKu/f6Pfep2iggJWz51NUUY+7oFeDJ3wFO6ed9eL/quFrDBz586VIyIiZDc3N7lr167yn3/+aT/20EMPydddd12p9ps2bZK7dOkiu7m5yZGRkfL8+fPL9Pndd9/Jbdq0kbVarRwbGyv/8MMP1dKUk5MjA3JOTk6NrkngPIxGo/zTTz/JRqNRaSkCF0LcF4IrEfdE46Q639+KB0GPHz+e8ePHl3ts8eLFZfZdd9117Nmzp9I+77rrLu66SzwZCwQCgUAgKB/FS2EIBAKBQCAQ1DXCABIIBAKBQNDoEAaQQCAQCASCRocwgAQCgUAgEDQ6hAEkEAgEAoGg0SEMIIFAIBAIBI0OYQAJBAKBQCBodAgDSCAQCAQCQaND8USIroh8schkbm6uwkoEV2IymSgsLCQ3N9clKjwLXANxXwiuRNwTjZOS7235yuLR5SAMoHLIy8sDIDw8XGElAoFAIBAIqkteXh6+vr6VtpFkR8ykRobVauXs2bN4e3sjSVKlbXv06MGuXbucoqM2+q5JH9U5p6q2V3O8vGO5ubmEh4dz6tQpfHx8HNJY1zjznqiN/pW+JxxpU9HxivY39vvC1T8rnHlPVHSssd8TtdG/q39WlHdMlmXy8vJo2rQpKlXlUT5iBqgcVCoVzZs3d6itWq122h9XbfRdkz6qc05Vba/meGXHfHx8XPZDzZn3RG30r/Q94Uibio5XdV5jvS9c/bPCmfdEVcca6z1RG/27+mdFRceqmvkpQQRBXyUTJkxw6b5r0kd1zqmq7dUcd+Z760ycrftq+///9u49Kqrr+gP4dxAYhnHGQaA8BwYlorwF34aC0TBGBTSE2DRxgZpUgi+MaWqrjc+YppEopjEGXQV8NAklaq0xKMYZfGDURFAQykpcwLRqqgaqiJLpzOzfH/64zeUhEB+Dmf1Za9bynnPvuXvOHO/dnHsGrD0murNPZ/WP6pgAbPta8SDHRE/i6G34WnFv4+Je3x8/AmOPlBs3bqBfv364fv16r/2pjj18PC5YWzwmWFd4Bog9UqRSKZYvXw6pVGrtUFgvwuOCtcVjgnWFZ4AYY4wxZnN4BogxxhhjNocTIMYYY4zZHE6AGGOMMWZzOAFijDHGmM3hBIgxxhhjNocTIPaTNm3aNLi4uOCZZ56xdijMSvbt24egoCA89thj2Lp1q7XDYb0AXxcYwF+DZz9xOp0ON2/eRH5+PgoLC60dDnvITCYTgoODodPpoFQqERUVhZMnT6J///7WDo1ZEV8XGMAzQOwnbty4cVAoFNYOg1nJqVOnEBISAh8fHygUCkyaNAkHDhywdljMyvi6wABOgJgVHTlyBAkJCfD29oZEIsGePXva7bNp0yYEBATAyckJ0dHROHr06MMPlFnNvY6RS5cuwcfHR9j29fXFxYsXH0bo7AHh6wa7XzgBYlbT3NyMiIgI/OlPf+qw/uOPP0ZmZiaWLl2KsrIyxMTE4KmnnoLBYBD2iY6ORmhoaLvXpUuXHtbbYA/QvY6Rjp7wSySSBxoze7Dux3WDMQAAMdYLAKDdu3eLykaMGEHp6emissGDB9OSJUt61LZOp6Pk5OR7DZFZ2Y8ZI8ePH6epU6cKdQsWLKCdO3c+8FjZw3Ev1w2+LjCeAWK9ktFoxFdffYX4+HhReXx8PEpLS60UFetNujNGRowYgcrKSly8eBFNTU3Yv38/tFqtNcJlDwFfN1hP2Fs7AMY6cu3aNZjNZnh4eIjKPTw88O2333a7Ha1WizNnzqC5uRm+vr7YvXs3hg8ffr/DZVbQnTFib2+PrKwsjBs3DhaLBa+99hpcXV2tES57CLp73eDrAgM4AWK9XNv1GkTUozUc/I2fn76uxkhiYiISExMfdljMiroaE3xdYAAvgma9lJubG/r06dNutufKlSvtfrpjtonHCGuLxwTrCU6AWK/k6OiI6OhoFBcXi8qLi4sxZswYK0XFehMeI6wtHhOsJ/gRGLOamzdv4ptvvhG2a2trUV5ejv79+8PPzw+vvPIKZsyYgWHDhmH06NHIycmBwWBAenq6FaNmDxOPEdYWjwl231j5W2jMhul0OgLQ7pWamirs895775G/vz85OjpSVFQUlZSUWC9g9tDxGGFt8Zhg9wv/LTDGGGOM2RxeA8QYY4wxm8MJEGOMMcZsDidAjDHGGLM5nAAxxhhjzOZwAsQYY4wxm8MJEGOMMcZsDidAjDHGGLM5nAAxxhhjzOZwAsQYY4wxm8MJEGM2YMWKFYiMjLR2GFZXU1MDT09PNDU13fe2NRoNNmzYcN/bZWIVFRXw9fVFc3OztUNhjzhOgBjrprS0NEgkkg7/qGJGRgYkEgnS0tIefmAA8vLyIJFI2r22bt1qlXj0er0oDldXVzzxxBM4fvz4j2rnP//5z32Ja+nSpZg7dy4UCsV9ae9ePEpJaVxcHDIzMx9I2z1NHMPCwjBixAisX7/+gcTDbAcnQIz1gFqtxkcffYTbt28LZS0tLfjwww/h5+dnxcgApVKJy5cvi17PP/+8VWOqqanB5cuXodfr4e7ujsmTJ+PKlStWieVf//oX9u7di5kzZ1rl/A/Cf//7X2uHYBUzZ87E+++/D7PZbO1Q2COMEyDGeiAqKgp+fn7YtWuXULZr1y6o1WoMHTpUtG9RUREef/xxqFQquLq6YsqUKbhw4YJQbzQaMW/ePHh5ecHJyQkajQZvvvmmUL9ixQr4+flBKpXC29sbCxYsuGtsEokEnp6eopdMJutwX4vFglWrVsHX1xdSqRSRkZEoKioS6pOTkzF//nxhOzMzExKJBOfPnwcAmEwmKBQKHDhw4K4x/exnP4OnpyfCwsKwbNkyXL9+HSdPnhTqd+zYgWHDhkGhUMDT0xO//OUvhQSprq4O48aNAwC4uLiIZtiICH/84x8xYMAAyGQyREREoLCw8K6xFBQUICIiAr6+vkJZXl4eVCoV9u3bh6CgIDg7O+OZZ55Bc3Mz8vPzodFo4OLigvnz54tutleuXEFCQgJkMhkCAgKwc+fOduczGAxISkpC3759oVQq8eyzz+Lf//63cN6VK1fi7NmzwixZXl7eXeMH7nzGmzdvRlJSEuRyOdasWQMA+Pvf/47o6Gg4OTlhwIABWLlyJUwmk3DcO++8g7CwMMjlcqjVamRkZODmzZuito8fP47Y2Fg4OzvDxcUFWq0WjY2NSEtLQ0lJCbKzs4VY6+rqYDabMXv2bAQEBEAmkyEoKAjZ2dmiNtPS0jB16lSsW7cOXl5ecHV1xdy5c4XELS4uDvX19Vi0aJHQNgDU19cjISEBLi4ukMvlCAkJwf79+4V2tVotvvvuO5SUlHTZZ4x1hhMgxnpo5syZyM3NFbb//Oc/Y9asWe32a25uxiuvvILTp0/j888/h52dHaZNmwaLxQIA2LhxI/bu3YuCggLU1NRgx44d0Gg0AIDCwkKsX78eH3zwAb7++mvs2bMHYWFh9+09ZGdnIysrC+vWrcO5c+eg1WqRmJiIr7/+GsCdG5Nerxf2LykpgZubm3DDOX36NFpaWjB27Nhune/WrVtCnzk4OAjlRqMRq1evxtmzZ7Fnzx7U1tYKSY5arcYnn3wC4H8zSa032GXLliE3Nxfvv/8+zp8/j0WLFuGFF1646w3xyJEjGDZsWIexbdy4ER999BGKioqg1+vx9NNPY//+/di/fz+2b9+OnJwcUYKVlpaGuro6HD58GIWFhdi0aZNoZouIMHXqVDQ0NKCkpATFxcW4cOECpk+fDgCYPn06Fi9ejJCQEGG2rrWuK8uXL0dSUhIqKiowa9YsHDhwAC+88AIWLFiAqqoqfPDBB8jLy8Mbb7whHGNnZ4eNGzeisrIS+fn5OHz4MF577TWhvry8HOPHj0dISAhOnDiBY8eOISEhAWazGdnZ2Rg9ejReeuklIVa1Wg2LxQJfX18UFBSgqqoKr7/+On73u9+hoKBAFK9Op8OFCxeg0+mQn5+PvLw8IdnbtWsXfH19sWrVKqFtAJg7dy6+//57HDlyBBUVFXjrrbfQt29foU1HR0dERETg6NGj3eozxjpEjLFuSU1NpaSkJLp69SpJpVKqra2luro6cnJyoqtXr1JSUhKlpqZ2evyVK1cIAFVUVBAR0fz58+mJJ54gi8XSbt+srCwaNGgQGY3GbsWWm5tLAEgulwsvDw8PoX758uUUEREhbHt7e9Mbb7whamP48OGUkZFBRETnzp0jiURCV69epYaGBnJwcKA1a9ZQSkoKERGtXbuWRo4c2Wk8Op1OFI9EIiEAFB0dfdf3dOrUKQJATU1NonYaGxuFfW7evElOTk5UWloqOnb27Nn03HPPddp2REQErVq1SlTW2m/ffPONUDZnzhxydnYWYiAi0mq1NGfOHCIiqqmpIQD0xRdfCPXV1dUEgNavX09ERAcPHqQ+ffqQwWAQ9jl//jwBoFOnThFR+8+kOwBQZmamqCwmJobWrl0rKtu+fTt5eXl12k5BQQG5uroK28899xyNHTu20/1jY2Np4cKFXcaXkZFBycnJwnZqair5+/uTyWQSylJSUmj69OnCtr+/v9BvrcLCwmjFihV3Pde0adMoLS2ty5gY64y9lfIuxh5Zbm5umDx5MvLz80FEmDx5Mtzc3Nrtd+HCBfz+97/HF198gWvXrgkzPwaDAaGhoUhLS8OTTz6JoKAgTJw4EVOmTEF8fDwAICUlBRs2bMCAAQMwceJETJo0CQkJCbC37/y/rEKhwJkzZ4RtO7uOJ3hv3LiBS5cutZu9GTt2LM6ePQsACA0NhaurK0pKSuDg4ICIiAgkJiZi48aNAO4sTo6Nje2yr44ePQq5XI6ysjL85je/QV5enmgGqKysDCtWrEB5eTkaGhpEfRQcHNxhm1VVVWhpacGTTz4pKjcaje0eQ/7Q7du34eTk1K7c2dkZAwcOFLY9PDyg0WhEMw4eHh7CDE91dTXs7e1Fs0mDBw+GSqUStqurq6FWq6FWq4Wy4OBgqFQqVFdXY/jw4Z3G2ZW2s1hfffUVTp8+LZrxMZvNaGlpwa1bt+Ds7AydToe1a9eiqqoKN27cgMlkQktLC5qbmyGXy1FeXo6UlJQex7J582Zs3boV9fX1uH37NoxGY7uF3SEhIejTp4+w7eXlhYqKiru2u2DBArz88ss4ePAgJkyYgOTkZISHh4v2kclkuHXrVo9jZqwVJ0CM/QizZs3CvHnzAADvvfdeh/skJCRArVZjy5Yt8Pb2hsViQWhoKIxGI4A764lqa2vx2Wef4dChQ3j22WcxYcIEFBYWQq1Wo6amBsXFxTh06BAyMjLw9ttvCwlJR+zs7BAYGNjt99C63qIVEQllEokEP//5z6HX6+Ho6Ii4uDiEhobCbDajoqICpaWl3fpWUEBAAFQqFQYNGoSWlhZMmzYNlZWVkEqlaG5uRnx8POLj47Fjxw64u7vDYDBAq9UKfdSR1iTp008/hY+Pj6hOKpV2epybmxsaGxvblbftT4lE0mFZ63mJSCjrzA/7sjvlPSGXy0XbFosFK1euxNNPP91uXycnJ9TX12PSpElIT0/H6tWr0b9/fxw7dgyzZ88W1uJ0tlbsbgoKCrBo0SJkZWVh9OjRUCgUePvtt0VrvICO+7e1Lzvz4osvQqvV4tNPP8XBgwfx5ptvIisrS7QuraGhQZS4MtZTvAaIsR9h4sSJMBqNMBqN0Gq17eq/++47VFdXY9myZRg/fjyGDBnS4c1XqVRi+vTp2LJlCz7++GN88sknaGhoAHDnptQ666LX63HixIkuf3LuDqVSCW9vbxw7dkxUXlpaiiFDhgjbreuA9Ho94uLiIJFIEBMTg3Xr1uH27dvdXv/TasaMGbBYLNi0aRMA4B//+AeuXbuGP/zhD4iJicHgwYPbfUPM0dERAEQLkIODgyGVSmEwGBAYGCh6/XDGpa2hQ4eiqqqqRzF3ZMiQITCZTPjyyy+FspqaGtFX9YODg2EwGPDPf/5TKKuqqsL169eFPnZ0dLwv32KKiopCTU1Nu74IDAyEnZ0dvvzyS5hMJmRlZWHUqFEYNGgQLl26JGojPDwcn3/+eafn6CjWo0ePYsyYMcjIyMDQoUMRGBgoWuTfXZ31g1qtRnp6Onbt2oXFixdjy5YtovrKysq7zvgx1hWeAWLsR+jTpw+qq6uFf7fl4uICV1dX5OTkwMvLCwaDAUuWLBHts379enh5eSEyMhJ2dnb461//Ck9PT6hUKuTl5cFsNmPkyJFwdnbG9u3bIZPJ4O/vf1/i//Wvf43ly5dj4MCBiIyMRG5uLsrLy0XfZoqLi8PChQthb2+PmJgYoWzx4sWIioqCUqns0Tnt7OyQmZmJNWvWYM6cOfDz84OjoyPeffddpKeno7KyEqtXrxYd4+/vD4lEgn379mHSpEmQyWRQKBR49dVXsWjRIlgsFjz++OO4ceMGSktL0bdvX6SmpnZ4fq1WixdffBFms7nDz6y7Wh9ZvvTSS8jJyYG9vT0yMzNFsygTJkxAeHg4nn/+eWzYsAEmkwkZGRmIjY0VHmFpNBrU1taivLwcvr6+UCgUd53B6szrr7+OKVOmQK1WIyUlBXZ2djh37hwqKiqwZs0aDBw4ECaTCe+++y4SEhJw/PhxbN68WdTGb3/7W4SFhSEjIwPp6elwdHSETqdDSkoK3NzcoNFocPLkSdTV1aFv377o378/AgMDsW3bNhw4cAABAQHYvn07Tp8+jYCAgB7Fr9FocOTIEfziF7+AVCqFm5sbMjMz8dRTT2HQoEFobGzE4cOHRcl5XV0dLl68iAkTJvS4vxgTWHUFEmOPkNZF0J1puwi6uLiYhgwZQlKplMLDw0mv1xMA2r17NxER5eTkUGRkJMnlclIqlTR+/Hg6c+YMERHt3r2bRo4cSUqlkuRyOY0aNYoOHTrU6blzc3OpX79+nda3XXBrNptp5cqV5OPjQw4ODhQREUGfffaZ6BiLxULu7u40bNgwoaysrIwA0KuvvtrpuYg6XrxMdGcBs4uLC7311ltERPSXv/yFNBoNSaVSGj16NO3du5cAUFlZmXDMqlWryNPTkyQSidC/FouFsrOzKSgoiBwcHMjd3Z20Wi2VlJR0GpPJZCIfHx8qKioSyjrqt44WJ7f97C9fvkyTJ08mqVRKfn5+tG3btnaLeevr6ykxMZHkcjkpFApKSUmhb7/9VqhvaWmh5ORkUqlUBIByc3M7jb3VD8fPDxUVFdGYMWNIJpORUqmkESNGUE5OjlD/zjvvkJeXF8lkMtJqtbRt27Z2n49er6cxY8aQVCollUpFWq1WqK+pqaFRo0aRTCYjAFRbW0stLS2UlpZG/fr1I5VKRS+//DItWbJE1Hcd/Z9ZuHAhxcbGCtsnTpyg8PBwkkql1HpLmjdvHg0cOJCkUim5u7vTjBkz6Nq1a8Ixa9euJa1W22V/MXY3EqL/f6DNGGM/cZs2bcLf/va3Ln9/Eeu9vv/+ezz22GP48MMPe/wYlrEf4kdgjDGb8atf/QqNjY1oamrqFX8Og/VcfX09li5dyskPu2c8A8QYY73Azp07MWfOnA7r/P39hd/CzRi7PzgBYoyxXqCpqUn4UxltOTg43LcF8IyxOzgBYowxxpjN4d8DxBhjjDGbwwkQY4wxxmwOJ0CMMcYYszmcADHGGGPM5nACxBhjjDGbwwkQY4wxxmwOJ0CMMcYYszn/B8Zg/vZkwMBRAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, ScF_row in enumerate(ScF_values):\n",
    "    Tp = Tp_values[i]\n",
    "    plt.plot(mdot_values, ScF_row, marker='o', label=f'Tp={Tp}K')\n",
    "\n",
    "plt.legend(loc='upper left')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Mass Flow Rate (mdot_reactants)')\n",
    "plt.ylabel('ScF/Sl0')\n",
    "plt.title('Mass Flow Rate vs. Consumption Speed')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eaeded49-c4ee-4b0c-a6b8-ed549fa97f7f",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i, ScF_row in enumerate(ScF_values):\n",
    "    Tp = Tp_values[i]\n",
    "    Ka_row = Ka_values[i * len(mdot_values):(i + 1) * len(mdot_values)]  # Tp에 해당하는 Ka_values 가져오기\n",
    "    plt.plot(Ka_row, ScF_row, marker='o', label=f'Tp={Tp}K')\n",
    "\n",
    "plt.legend(loc='upper left')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('Strain Rate (Ka)')\n",
    "plt.ylabel('ScF/Sl0')\n",
    "plt.title('Strain Rate vs. Consumption Speed')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c0643468-a995-4ac7-91a7-4a1ffd56ba35",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot grid-velocity graph\n",
    "plt.plot(flame_cf.grid, flame_cf.velocity, label='Velocity vs. Grid')\n",
    "plt.xlabel('Grid position (x)')\n",
    "plt.ylabel('Velocity (u)')\n",
    "plt.title('Velocity vs. Grid')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
